diff --git a/pandas/core/arrays/string_arrow.py b/pandas/core/arrays/string_arrow.py
index 4370f3a4e15cf..13903d581793f 100644
--- a/pandas/core/arrays/string_arrow.py
+++ b/pandas/core/arrays/string_arrow.py
@@ -1,5 +1,6 @@
 from __future__ import annotations
 
+from collections.abc import Callable  # noqa: PDF001
 import re
 from typing import (
     TYPE_CHECKING,
@@ -834,6 +835,28 @@ def _str_endswith(self, pat: str, na=None):
         pat = re.escape(pat) + "$"
         return self._str_contains(pat, na=na, regex=True)
 
+    def _str_replace(
+        self,
+        pat: str | re.Pattern,
+        repl: str | Callable,
+        n: int = -1,
+        case: bool = True,
+        flags: int = 0,
+        regex: bool = True,
+    ):
+        if (
+            pa_version_under4p0
+            or isinstance(pat, re.Pattern)
+            or callable(repl)
+            or not case
+            or flags
+        ):
+            return super()._str_replace(pat, repl, n, case, flags, regex)
+
+        func = pc.replace_substring_regex if regex else pc.replace_substring
+        result = func(self._data, pattern=pat, replacement=repl, max_replacements=n)
+        return type(self)(result)
+
     def _str_match(
         self, pat: str, case: bool = True, flags: int = 0, na: Scalar = None
     ):