diff --git a/pandas/tests/io/test_fsspec.py b/pandas/tests/io/test_fsspec.py
index 5ed64e3eb0958..cf59e3e4c4934 100644
--- a/pandas/tests/io/test_fsspec.py
+++ b/pandas/tests/io/test_fsspec.py
@@ -5,6 +5,8 @@
 
 from pandas._config import using_string_dtype
 
+from pandas.compat import HAS_PYARROW
+
 from pandas import (
     DataFrame,
     date_range,
@@ -168,7 +170,9 @@ def test_excel_options(fsspectest):
     assert fsspectest.test[0] == "read"
 
 
-@pytest.mark.xfail(using_string_dtype(), reason="TODO(infer_string) fastparquet")
+@pytest.mark.xfail(
+    using_string_dtype() and HAS_PYARROW, reason="TODO(infer_string) fastparquet"
+)
 def test_to_parquet_new_file(cleared_fs, df1):
     """Regression test for writing to a not-yet-existent GCS Parquet file."""
     pytest.importorskip("fastparquet")
diff --git a/pandas/tests/io/test_gcs.py b/pandas/tests/io/test_gcs.py
index c7671bfb513aa..9fc0f6eb47766 100644
--- a/pandas/tests/io/test_gcs.py
+++ b/pandas/tests/io/test_gcs.py
@@ -7,8 +7,6 @@
 import numpy as np
 import pytest
 
-from pandas._config import using_string_dtype
-
 from pandas.compat.pyarrow import pa_version_under17p0
 
 from pandas import (
@@ -196,7 +194,6 @@ def test_to_csv_compression_encoding_gcs(
     tm.assert_frame_equal(df, read_df)
 
 
-@pytest.mark.xfail(using_string_dtype(), reason="TODO(infer_string) fastparquet")
 def test_to_parquet_gcs_new_file(monkeypatch, tmpdir):
     """Regression test for writing to a not-yet-existent GCS Parquet file."""
     pytest.importorskip("fastparquet")