diff --git a/datafusion/common/src/metadata.rs b/datafusion/common/src/metadata.rs
index 34242e9b52757..2b93141a4c2e9 100644
--- a/datafusion/common/src/metadata.rs
+++ b/datafusion/common/src/metadata.rs
@@ -18,6 +18,7 @@
 use std::{collections::BTreeMap, sync::Arc};
 
 use arrow::datatypes::{DataType, Field, FieldRef, Metadata};
+use arrow_schema::extension::{EXTENSION_TYPE_METADATA_KEY, EXTENSION_TYPE_NAME_KEY};
 use hashbrown::HashMap;
 
 use crate::{DataFusionError, ScalarValue, error::_plan_err};
@@ -117,6 +118,75 @@ pub fn check_metadata_with_storage_equal(
     Ok(())
 }
 
+/// Compute the field metadata to propagate for an expression whose result
+/// may come from any one of several inputs coerced to a common type, such as
+/// `COALESCE`, `NVL2`, or `CASE WHEN`.
+///
+/// Metadata is merged across the fields whose data type is not `Null` (an
+/// untyped NULL literal carries no metadata and cannot contribute a typed
+/// value), with earlier fields taking precedence for repeated keys. Unrelated
+/// keys are not required to agree: metadata that arrived with the data (e.g.
+/// from an Arrow file or an embedded Arrow schema in a Parquet file) must not
+/// cause an extension type to be silently dropped from the result.
+///
+/// The Arrow extension type keys are handled as a unit, like in
+/// [`Expr::Cast`] output field derivation:
+/// - Differing values of `ARROW:extension:name` produce a planning error;
+///   the inputs are of different logical types even though they were coerced
+///   to a common storage type.
+/// - `ARROW:extension:metadata` is taken from the field that supplied the
+///   extension name, never combined from another field. Byte-wise differences
+///   in the extension metadata of fields that agree on the extension name are
+///   tolerated, since extension parameters are often JSON-encoded, where byte
+///   equality is too strict.
+///
+/// [`Expr::Cast`]: https://docs.rs/datafusion/latest/datafusion/logical_expr/enum.Expr.html#variant.Cast
+pub fn coerced_fields_metadata<'a>(
+    fields: impl IntoIterator<Item = &'a Field>,
+) -> Result<FieldMetadata, DataFusionError> {
+    let mut merged: BTreeMap<String, String> = BTreeMap::new();
+    let mut extension: Option<(String, Option<String>)> = None;
+
+    for field in fields {
+        if field.data_type().is_null() {
+            continue;
+        }
+        let metadata = FieldMetadata::new_from_field(field);
+        if let Some(name) = metadata.inner().get(EXTENSION_TYPE_NAME_KEY) {
+            match &extension {
+                Some((first_name, _)) if first_name != name => {
+                    return _plan_err!(
+                        "Cannot merge field metadata with differing values of \
+                         '{EXTENSION_TYPE_NAME_KEY}': '{first_name}' and '{name}'"
+                    );
+                }
+                Some(_) => {}
+                None => {
+                    extension = Some((
+                        name.clone(),
+                        metadata.inner().get(EXTENSION_TYPE_METADATA_KEY).cloned(),
+                    ));
+                }
+            }
+        }
+        for (key, value) in metadata.inner() {
+            if key == EXTENSION_TYPE_NAME_KEY || key == EXTENSION_TYPE_METADATA_KEY {
+                continue;
+            }
+            merged.entry(key.clone()).or_insert_with(|| value.clone());
+        }
+    }
+
+    if let Some((name, extension_metadata)) = extension {
+        merged.insert(EXTENSION_TYPE_NAME_KEY.to_string(), name);
+        if let Some(extension_metadata) = extension_metadata {
+            merged.insert(EXTENSION_TYPE_METADATA_KEY.to_string(), extension_metadata);
+        }
+    }
+
+    Ok(FieldMetadata::from(merged))
+}
+
 /// Given a data type represented by storage and optional metadata, generate
 /// a user-facing string
 ///
@@ -392,3 +462,98 @@ impl From<&HashMap<String, String>> for FieldMetadata {
         }
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn coerced_fields_metadata_merges_with_earlier_precedence() {
+        let a = Field::new("a", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([
+                ("k".to_string(), "v1".to_string()),
+                ("only_a".to_string(), "a".to_string()),
+            ]),
+        );
+        let b = Field::new("b", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([
+                ("k".to_string(), "v2".to_string()),
+                ("only_b".to_string(), "b".to_string()),
+            ]),
+        );
+        let result = coerced_fields_metadata([&a, &b]).unwrap();
+        assert_eq!(result.inner().get("k").map(String::as_str), Some("v1"));
+        assert_eq!(result.inner().get("only_a").map(String::as_str), Some("a"));
+        assert_eq!(result.inner().get("only_b").map(String::as_str), Some("b"));
+    }
+
+    #[test]
+    fn coerced_fields_metadata_skips_null_typed_fields() {
+        let null = Field::new("null", DataType::Null, true);
+        let b = Field::new("b", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([("k".to_string(), "v".to_string())]),
+        );
+        let result = coerced_fields_metadata([&null, &b]).unwrap();
+        assert_eq!(result.inner().get("k").map(String::as_str), Some("v"));
+    }
+
+    #[test]
+    fn coerced_fields_metadata_empty_when_no_field_has_any() {
+        let a = Field::new("a", DataType::Binary, true);
+        let null = Field::new("null", DataType::Null, true);
+        assert!(coerced_fields_metadata([&a, &null]).unwrap().is_empty());
+    }
+
+    #[test]
+    fn coerced_fields_metadata_errors_on_differing_extension_names() {
+        let a = Field::new("a", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([(
+                EXTENSION_TYPE_NAME_KEY.to_string(),
+                "arrow.json".to_string(),
+            )]),
+        );
+        let b = Field::new("b", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([(
+                EXTENSION_TYPE_NAME_KEY.to_string(),
+                "geoarrow.wkb".to_string(),
+            )]),
+        );
+        let err = coerced_fields_metadata([&a, &b]).unwrap_err();
+        assert!(err.to_string().contains("arrow.json"), "{err}");
+        assert!(err.to_string().contains("geoarrow.wkb"), "{err}");
+    }
+
+    #[test]
+    fn coerced_fields_metadata_keeps_extension_keys_paired() {
+        // The extension metadata travels with the field that supplied the
+        // extension name: byte-wise differences for the same name are
+        // tolerated, and a bare extension name never picks up another
+        // field's parameters.
+        let a = Field::new("a", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([(
+                EXTENSION_TYPE_NAME_KEY.to_string(),
+                "ext.type".to_string(),
+            )]),
+        );
+        let b = Field::new("b", DataType::Binary, true).with_metadata(
+            std::collections::HashMap::from([
+                (EXTENSION_TYPE_NAME_KEY.to_string(), "ext.type".to_string()),
+                (
+                    EXTENSION_TYPE_METADATA_KEY.to_string(),
+                    "{\"param\": 1}".to_string(),
+                ),
+            ]),
+        );
+        let result = coerced_fields_metadata([&a, &b]).unwrap();
+        assert_eq!(
+            result
+                .inner()
+                .get(EXTENSION_TYPE_NAME_KEY)
+                .map(String::as_str),
+            Some("ext.type")
+        );
+        // "a" supplied the extension name first and carried no parameters;
+        // "b"'s parameters are not grafted onto it.
+        assert_eq!(result.inner().get(EXTENSION_TYPE_METADATA_KEY), None);
+    }
+}
diff --git a/datafusion/functions/src/core/coalesce.rs b/datafusion/functions/src/core/coalesce.rs
index 9cf3536443e6c..10733d0ff0e86 100644
--- a/datafusion/functions/src/core/coalesce.rs
+++ b/datafusion/functions/src/core/coalesce.rs
@@ -16,6 +16,7 @@
 // under the License.
 
 use arrow::datatypes::{DataType, Field, FieldRef};
+use datafusion_common::metadata::coerced_fields_metadata;
 use datafusion_common::{Result, exec_err, internal_err, plan_err};
 use datafusion_expr::binary::try_type_union_resolution;
 use datafusion_expr::conditional_expressions::CaseBuilder;
@@ -86,7 +87,14 @@ impl ScalarUDFImpl for CoalesceFunc {
             .find_or_first(|d| !d.is_null())
             .unwrap()
             .clone();
-        Ok(Field::new(self.name(), return_type, nullable).into())
+        // Propagate field metadata (e.g. Arrow extension types) from the
+        // arguments that can supply a value; see `coerced_fields_metadata`
+        // for the merge semantics.
+        let metadata =
+            coerced_fields_metadata(args.arg_fields.iter().map(|f| f.as_ref()))?;
+        Ok(metadata
+            .add_to_field(Field::new(self.name(), return_type, nullable))
+            .into())
     }
 
     fn simplify(
@@ -146,3 +154,142 @@ impl ScalarUDFImpl for CoalesceFunc {
         self.doc()
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use std::collections::HashMap;
+    use std::sync::Arc;
+
+    const EXTENSION_KEY: &str = "ARROW:extension:name";
+
+    #[test]
+    fn propagates_metadata_when_arguments_agree() {
+        let fields = [
+            Arc::new(Field::new("a", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+            Arc::new(Field::new("b", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+        ];
+        let ret = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap();
+        assert_eq!(ret.data_type(), &DataType::Binary);
+        assert!(ret.is_nullable());
+        assert_eq!(
+            ret.metadata().get(EXTENSION_KEY).map(String::as_str),
+            Some("geoarrow.wkb")
+        );
+    }
+
+    #[test]
+    fn null_literal_argument_does_not_block_metadata() {
+        // An untyped NULL argument carries no metadata but cannot contribute
+        // a typed value either, so it is skipped when picking the metadata.
+        let fields = [
+            Arc::new(Field::new("null", DataType::Null, true)),
+            Arc::new(Field::new("b", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+        ];
+        let ret = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap();
+        assert_eq!(ret.data_type(), &DataType::Binary);
+        assert_eq!(
+            ret.metadata().get(EXTENSION_KEY).map(String::as_str),
+            Some("geoarrow.wkb")
+        );
+    }
+
+    #[test]
+    fn errors_on_conflicting_extension_types() {
+        let fields = [
+            Arc::new(Field::new("a", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+            Arc::new(Field::new("b", DataType::Binary, true).with_metadata(
+                HashMap::from([(
+                    EXTENSION_KEY.to_string(),
+                    "unrelated.type".to_string(),
+                )]),
+            )),
+        ];
+        let err = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap_err();
+        assert!(err.to_string().contains("geoarrow.wkb"), "{err}");
+        assert!(err.to_string().contains("unrelated.type"), "{err}");
+    }
+
+    #[test]
+    fn plain_argument_does_not_block_later_metadata() {
+        let fields = [
+            Arc::new(Field::new("plain", DataType::Binary, true)),
+            Arc::new(Field::new("b", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+        ];
+        let ret = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap();
+        assert_eq!(ret.data_type(), &DataType::Binary);
+        assert_eq!(
+            ret.metadata().get(EXTENSION_KEY).map(String::as_str),
+            Some("geoarrow.wkb")
+        );
+    }
+
+    #[test]
+    fn no_metadata_when_all_arguments_are_null() {
+        let fields = [
+            Arc::new(Field::new("a", DataType::Null, true)),
+            Arc::new(Field::new("b", DataType::Null, true)),
+        ];
+        let ret = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap();
+        assert_eq!(ret.data_type(), &DataType::Null);
+        assert!(ret.metadata().is_empty());
+    }
+
+    #[test]
+    fn nullability_is_unchanged_by_metadata_propagation() {
+        let fields = [
+            Arc::new(Field::new("a", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+            Arc::new(Field::new("b", DataType::Binary, false).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+        ];
+        let ret = CoalesceFunc::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None],
+            })
+            .unwrap();
+        assert!(!ret.is_nullable());
+        assert_eq!(
+            ret.metadata().get(EXTENSION_KEY).map(String::as_str),
+            Some("geoarrow.wkb")
+        );
+    }
+}
diff --git a/datafusion/functions/src/core/nvl2.rs b/datafusion/functions/src/core/nvl2.rs
index 671e1d74f5f89..e0bd860f68f21 100644
--- a/datafusion/functions/src/core/nvl2.rs
+++ b/datafusion/functions/src/core/nvl2.rs
@@ -16,6 +16,7 @@
 // under the License.
 
 use arrow::datatypes::{DataType, Field, FieldRef};
+use datafusion_common::metadata::coerced_fields_metadata;
 use datafusion_common::{Result, internal_err, plan_err, utils::take_function_args};
 use datafusion_expr::{
     ColumnarValue, Documentation, Expr, ReturnFieldArgs, ScalarFunctionArgs,
@@ -94,7 +95,14 @@ impl ScalarUDFImpl for NVL2Func {
         let nullable =
             args.arg_fields[1].is_nullable() || args.arg_fields[2].is_nullable();
         let return_type = args.arg_fields[1].data_type().clone();
-        Ok(Field::new(self.name(), return_type, nullable).into())
+        // The result value comes from the second or third argument; propagate
+        // field metadata (e.g. Arrow extension types) from them. The first
+        // argument is only tested for NULL and does not contribute a value.
+        let metadata =
+            coerced_fields_metadata(args.arg_fields[1..3].iter().map(|f| f.as_ref()))?;
+        Ok(metadata
+            .add_to_field(Field::new(self.name(), return_type, nullable))
+            .into())
     }
 
     fn invoke_with_args(&self, _args: ScalarFunctionArgs) -> Result<ColumnarValue> {
@@ -140,3 +148,77 @@ impl ScalarUDFImpl for NVL2Func {
         self.doc()
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use std::collections::HashMap;
+    use std::sync::Arc;
+
+    const EXTENSION_KEY: &str = "ARROW:extension:name";
+
+    #[test]
+    fn propagates_metadata_from_value_arguments() {
+        // The first argument is only tested for NULL; its metadata must not
+        // leak into the result even when the value arguments agree.
+        let fields = [
+            Arc::new(Field::new("test", DataType::Binary, true).with_metadata(
+                HashMap::from([(
+                    EXTENSION_KEY.to_string(),
+                    "unrelated.type".to_string(),
+                )]),
+            )),
+            Arc::new(
+                Field::new("if_non_null", DataType::Binary, true).with_metadata(
+                    HashMap::from([(
+                        EXTENSION_KEY.to_string(),
+                        "geoarrow.wkb".to_string(),
+                    )]),
+                ),
+            ),
+            Arc::new(Field::new("if_null", DataType::Binary, true).with_metadata(
+                HashMap::from([(EXTENSION_KEY.to_string(), "geoarrow.wkb".to_string())]),
+            )),
+        ];
+        let ret = NVL2Func::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None, None],
+            })
+            .unwrap();
+        assert_eq!(ret.data_type(), &DataType::Binary);
+        assert_eq!(
+            ret.metadata().get(EXTENSION_KEY).map(String::as_str),
+            Some("geoarrow.wkb")
+        );
+    }
+
+    #[test]
+    fn errors_when_value_arguments_have_conflicting_extension_types() {
+        let fields = [
+            Arc::new(Field::new("test", DataType::Boolean, true)),
+            Arc::new(
+                Field::new("if_non_null", DataType::Binary, true).with_metadata(
+                    HashMap::from([(
+                        EXTENSION_KEY.to_string(),
+                        "geoarrow.wkb".to_string(),
+                    )]),
+                ),
+            ),
+            Arc::new(Field::new("if_null", DataType::Binary, true).with_metadata(
+                HashMap::from([(
+                    EXTENSION_KEY.to_string(),
+                    "unrelated.type".to_string(),
+                )]),
+            )),
+        ];
+        let err = NVL2Func::new()
+            .return_field_from_args(ReturnFieldArgs {
+                arg_fields: &fields,
+                scalar_arguments: &[None, None, None],
+            })
+            .unwrap_err();
+        assert!(err.to_string().contains("geoarrow.wkb"), "{err}");
+        assert!(err.to_string().contains("unrelated.type"), "{err}");
+    }
+}