diff --git a/pandas/core/arrays/string_arrow.py b/pandas/core/arrays/string_arrow.py
index 7cfa8d22ae8231..736a2239e8857b 100644
--- a/pandas/core/arrays/string_arrow.py
+++ b/pandas/core/arrays/string_arrow.py
@@ -475,6 +475,16 @@ def _str_count(self, pat: str, flags: int = 0):
         result = pc.count_substring_regex(self._pa_array, pat)
         return self._convert_int_dtype(result)
 
+    def _str_find(self, sub: str, start: int = 0, end: int | None = None):
+        if (
+            pa_version_under13p0
+            and not (start != 0 and end is not None)
+            and not (start == 0 and end is None)
+        ):
+            # https://github.com/pandas-dev/pandas/pull/59562/files#r1725688888
+            return super()._str_find(sub, start, end)
+        return ArrowExtensionArray._str_find(self, sub, start, end)
+
     def _str_get_dummies(self, sep: str = "|"):
         dummies_pa, labels = ArrowExtensionArray(self._pa_array)._str_get_dummies(sep)
         if len(labels) == 0:
diff --git a/pandas/tests/strings/test_find_replace.py b/pandas/tests/strings/test_find_replace.py
index 65d6963ae53995..00677ef4fcfe9c 100644
--- a/pandas/tests/strings/test_find_replace.py
+++ b/pandas/tests/strings/test_find_replace.py
@@ -4,7 +4,6 @@
 import numpy as np
 import pytest
 
-from pandas.compat import pa_version_under13p0
 import pandas.util._test_decorators as td
 
 import pandas as pd
@@ -940,22 +939,13 @@ def test_find_bad_arg_raises(any_string_dtype):
         ser.str.rfind(0)
 
 
-def test_find_nan(any_string_dtype, request):
+def test_find_nan(any_string_dtype):
     ser = Series(
         ["ABCDEFG", np.nan, "DEFGHIJEF", np.nan, "XXXX"], dtype=any_string_dtype
     )
     expected_dtype = (
         np.float64 if is_object_or_nan_string_dtype(any_string_dtype) else "Int64"
     )
-    if (
-        pa_version_under13p0
-        and isinstance(ser.dtype, pd.StringDtype)
-        and ser.dtype.storage == "pyarrow"
-    ):
-        # https://github.com/apache/arrow/issues/36311
-        mark = pytest.mark.xfail(reason="https://github.com/apache/arrow/issues/36311")
-        # raises pa.lib.ArrowInvalid with Negative buffer resize
-        request.node.add_marker(mark)
 
     result = ser.str.find("EF")
     expected = Series([4, np.nan, 1, np.nan, -1], dtype=expected_dtype)