BUG: interpolate raising wrong error for ea (pandas-dev#55347)

(cherry picked from commit f196319)

Author: phofl

doc/source/whatsnew/v2.1.2.rst

@@ -22,6 +22,7 @@ Fixed regressions
 Bug fixes
 ~~~~~~~~~
 - Fixed bug in :meth:`DataFrame.idxmin` and :meth:`DataFrame.idxmax` raising for arrow dtypes (:issue:`55368`)
+- Fixed bug in :meth:`DataFrame.interpolate` raising incorrect error message (:issue:`55347`)
 -
 
 .. ---------------------------------------------------------------------------

pandas/core/arrays/base.py

@@ -889,7 +889,6 @@ def interpolate(
         limit,
         limit_direction,
         limit_area,
-        fill_value,
         copy: bool,
         **kwargs,
     ) -> Self:

pandas/tests/frame/methods/test_interpolate.py

@@ -497,3 +497,9 @@ def test_interpolate_empty_df(self):
         result = df.interpolate(inplace=True)
         assert result is None
         tm.assert_frame_equal(df, expected)
+
+    def test_interpolate_ea_raise(self):
+        # GH#55347
+        df = DataFrame({"a": [1, None, 2]}, dtype="Int64")
+        with pytest.raises(NotImplementedError, match="does not implement"):
+            df.interpolate()