diff --git a/pandas/core/arrays/string_arrow.py b/pandas/core/arrays/string_arrow.py
index 43c8abe015434d..6e798f3bfabb5d 100644
--- a/pandas/core/arrays/string_arrow.py
+++ b/pandas/core/arrays/string_arrow.py
@@ -281,6 +281,8 @@ def astype(self, dtype, copy: bool = True):
     _object_compat = True
 
     _str_map = BaseStringArray._str_map
+    _str_startswith = ArrowStringArrayMixin._str_startswith
+    _str_endswith = ArrowStringArrayMixin._str_endswith
 
     def _str_contains(
         self, pat, case: bool = True, flags: int = 0, na=np.nan, regex: bool = True