diff --git a/doc/source/conf.py b/doc/source/conf.py
index 24482d7c7461a..6671cefae9073 100644
--- a/doc/source/conf.py
+++ b/doc/source/conf.py
@@ -583,7 +583,14 @@ class AccessorCallableDocumenter(AccessorLevelDocumenter, MethodDocumenter):
     priority = 0.5
 
     def format_name(self):
-        return MethodDocumenter.format_name(self).rstrip(".__call__")
+        if sys.version_info < (3, 9):
+            # NOTE pyupgrade will remove this when we run it with --py39-plus
+            # so don't remove the unnecessary `else` statement below
+            from pandas.util._str_methods import removesuffix
+
+            return removesuffix(MethodDocumenter.format_name(self), ".__call__")
+        else:
+            return MethodDocumenter.format_name(self).removesuffix(".__call__")
 
 
 class PandasAutosummary(Autosummary):
diff --git a/pandas/core/ops/common.py b/pandas/core/ops/common.py
index f0e6aa3750cee..8bba400cedc9a 100644
--- a/pandas/core/ops/common.py
+++ b/pandas/core/ops/common.py
@@ -4,6 +4,7 @@
 from __future__ import annotations
 
 from functools import wraps
+import sys
 from typing import Callable
 
 from pandas._libs.lib import item_from_zerodim
@@ -52,7 +53,16 @@ def _unpack_zerodim_and_defer(method, name: str):
     -------
     method
     """
-    is_cmp = name.strip("__") in {"eq", "ne", "lt", "le", "gt", "ge"}
+    if sys.version_info < (3, 9):
+        from pandas.util._str_methods import (
+            removeprefix,
+            removesuffix,
+        )
+
+        stripped_name = removesuffix(removeprefix(name, "__"), "__")
+    else:
+        stripped_name = name.removeprefix("__").removesuffix("__")
+    is_cmp = stripped_name in {"eq", "ne", "lt", "le", "gt", "ge"}
 
     @wraps(method)
     def new_method(self, other):
diff --git a/pandas/core/strings/object_array.py b/pandas/core/strings/object_array.py
index 21e7ede3ed386..2d77cd0da816f 100644
--- a/pandas/core/strings/object_array.py
+++ b/pandas/core/strings/object_array.py
@@ -3,6 +3,7 @@
 from collections.abc import Callable  # noqa: PDF001
 import functools
 import re
+import sys
 import textwrap
 from typing import (
     TYPE_CHECKING,
@@ -462,16 +463,14 @@ def removeprefix(text: str) -> str:
         return self._str_map(removeprefix)
 
     def _str_removesuffix(self, suffix: str) -> Series:
-        # this could be used on Python 3.9+
-        # f = lambda x: x.removesuffix(suffix)
-        # return self._str_map(str.removesuffix)
+        if sys.version_info < (3, 9):
+            # NOTE pyupgrade will remove this when we run it with --py39-plus
+            # so don't remove the unnecessary `else` statement below
+            from pandas.util._str_methods import removesuffix
 
-        def removesuffix(text: str) -> str:
-            if text.endswith(suffix):
-                return text[: -len(suffix)]
-            return text
-
-        return self._str_map(removesuffix)
+            return self._str_map(functools.partial(removesuffix, suffix=suffix))
+        else:
+            return self._str_map(lambda x: x.removesuffix(suffix))
 
     def _str_extract(self, pat: str, flags: int = 0, expand: bool = True):
         regex = re.compile(pat, flags=flags)
diff --git a/pandas/tests/io/test_sql.py b/pandas/tests/io/test_sql.py
index f321ecc2f65ff..cb1bcf7a813eb 100644
--- a/pandas/tests/io/test_sql.py
+++ b/pandas/tests/io/test_sql.py
@@ -1587,7 +1587,7 @@ def test_get_schema2(self, test_frame1):
     def _get_sqlite_column_type(self, schema, column):
 
         for col in schema.split("\n"):
-            if col.split()[0].strip('""') == column:
+            if col.split()[0].strip('"') == column:
                 return col.split()[1]
         raise ValueError(f"Column {column} not found")
 
diff --git a/pandas/tests/util/test_str_methods.py b/pandas/tests/util/test_str_methods.py
new file mode 100644
index 0000000000000..c07730f589824
--- /dev/null
+++ b/pandas/tests/util/test_str_methods.py
@@ -0,0 +1,47 @@
+import sys
+
+import pytest
+
+if sys.version_info < (3, 9):
+    from pandas.util._str_methods import (
+        removeprefix,
+        removesuffix,
+    )
+
+    @pytest.mark.parametrize(
+        "string, prefix, expected",
+        (
+            ("wildcat", "wild", "cat"),
+            ("blackbird", "black", "bird"),
+            ("housefly", "house", "fly"),
+            ("ladybug", "lady", "bug"),
+            ("rattlesnake", "rattle", "snake"),
+            ("baboon", "badger", "baboon"),
+            ("quetzal", "elk", "quetzal"),
+        ),
+    )
+    def test_remove_prefix(string, prefix, expected):
+        result = removeprefix(string, prefix)
+        assert result == expected
+
+    @pytest.mark.parametrize(
+        "string, suffix, expected",
+        (
+            ("wildcat", "cat", "wild"),
+            ("blackbird", "bird", "black"),
+            ("housefly", "fly", "house"),
+            ("ladybug", "bug", "lady"),
+            ("rattlesnake", "snake", "rattle"),
+            ("seahorse", "horse", "sea"),
+            ("baboon", "badger", "baboon"),
+            ("quetzal", "elk", "quetzal"),
+        ),
+    )
+    def test_remove_suffix(string, suffix, expected):
+        result = removesuffix(string, suffix)
+        assert result == expected
+
+else:
+    # NOTE: remove this file when pyupgrade --py39-plus removes
+    # the above block
+    pass
diff --git a/pandas/util/_str_methods.py b/pandas/util/_str_methods.py
new file mode 100644
index 0000000000000..8f7aef80bc108
--- /dev/null
+++ b/pandas/util/_str_methods.py
@@ -0,0 +1,28 @@
+"""
+Python3.9 introduces removesuffix and remove prefix.
+
+They're reimplemented here for use in Python3.8.
+
+NOTE: when pyupgrade --py39-plus removes nearly everything in this file,
+this file and the associated tests should be removed.
+"""
+from __future__ import annotations
+
+import sys
+
+if sys.version_info < (3, 9):
+
+    def removesuffix(string: str, suffix: str) -> str:
+        if string.endswith(suffix):
+            return string[: -len(suffix)]
+        return string
+
+    def removeprefix(string: str, prefix: str) -> str:
+        if string.startswith(prefix):
+            return string[len(prefix) :]
+        return string
+
+else:
+    # NOTE: remove this file when pyupgrade --py39-plus removes
+    # the above block
+    pass
diff --git a/setup.cfg b/setup.cfg
index 62bebac8a2885..98c5a27d3e6a0 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -194,8 +194,6 @@ ignore =
     # found modulo formatter (incorrect picks up mod operations)
     S001,
     # controversial
-    B005,
-    # controversial
     B006,
     # controversial
     B007,