diff --git a/python/pyspark/pandas/frame.py b/python/pyspark/pandas/frame.py
index f7b2df30533c0..7222b877bba1d 100644
--- a/python/pyspark/pandas/frame.py
+++ b/python/pyspark/pandas/frame.py
@@ -13490,7 +13490,13 @@ def __getattr__(self, key: str) -> Any:
         if key.startswith("__"):
             raise AttributeError(key)
         if hasattr(MissingPandasLikeDataFrame, key):
-            if key in ["asfreq", "asof"] and get_option("compute.pandas_fallback"):
+            if key in [
+                "asfreq",
+                "asof",
+                "convert_dtypes",
+                "infer_objects",
+                "set_axis",
+            ] and get_option("compute.pandas_fallback"):
                 return self._fall_back_frame(key)
 
             property_or_func = getattr(MissingPandasLikeDataFrame, key)
diff --git a/python/pyspark/pandas/missing/frame.py b/python/pyspark/pandas/missing/frame.py
index 5ba81c81b36f6..7a4d09d4ea816 100644
--- a/python/pyspark/pandas/missing/frame.py
+++ b/python/pyspark/pandas/missing/frame.py
@@ -43,7 +43,6 @@ class MissingPandasLikeDataFrame:
     reorder_levels = _unsupported_function("reorder_levels")
     set_axis = _unsupported_function("set_axis")
     to_feather = _unsupported_function("to_feather")
-    to_gbq = _unsupported_function("to_gbq")
     to_hdf = _unsupported_function("to_hdf")
     to_period = _unsupported_function("to_period")
     to_sql = _unsupported_function("to_sql")
@@ -56,6 +55,9 @@ class MissingPandasLikeDataFrame:
     lookup = _unsupported_function(
         "lookup", deprecated=True, reason="Use DataFrame.melt and DataFrame.loc instead."
     )
+    to_gbq = _unsupported_function(
+        "to_gbq", deprecated=True, reason="Use pandas_gbq.to_gbq instead."
+    )
 
     # Functions we won't support.
     to_pickle = common.to_pickle(_unsupported_function)