diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index f446a09f2f5ea..adddbdd644ab7 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -138,7 +138,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.DatetimeTZDtype.tz SA01" \
         -i "pandas.DatetimeTZDtype.unit SA01" \
         -i "pandas.Grouper PR02" \
-        -i "pandas.HDFStore.append PR01,SA01" \
         -i "pandas.HDFStore.get SA01" \
         -i "pandas.HDFStore.groups SA01" \
         -i "pandas.HDFStore.info RT03,SA01" \
diff --git a/pandas/io/pytables.py b/pandas/io/pytables.py
index 3cfd740a51304..28eb467236832 100644
--- a/pandas/io/pytables.py
+++ b/pandas/io/pytables.py
@@ -1261,15 +1261,19 @@ def append(
                 Table format. Write as a PyTables Table structure which may perform
                 worse but allow more flexible operations like searching / selecting
                 subsets of the data.
+        axes : default None
+            This parameter is currently not accepted.
         index : bool, default True
             Write DataFrame index as a column.
         append : bool, default True
             Append the input data to the existing.
-        data_columns : list of columns, or True, default None
-            List of columns to create as indexed data columns for on-disk
-            queries, or True to use all columns. By default only the axes
-            of the object are indexed. See `here
-            <https://pandas.pydata.org/pandas-docs/stable/user_guide/io.html#query-via-data-columns>`__.
+        complib : default None
+            This parameter is currently not accepted.
+        complevel : int, 0-9, default None
+            Specifies a compression level for data.
+            A value of 0 or None disables compression.
+        columns : default None
+            This parameter is currently not accepted, try data_columns.
         min_itemsize : int, dict, or None
             Dict of columns that specify minimum str sizes.
         nan_rep : str
@@ -1278,11 +1282,26 @@ def append(
             Size to chunk the writing.
         expectedrows : int
             Expected TOTAL row size of this table.
-        encoding : default None
-            Provide an encoding for str.
         dropna : bool, default False, optional
             Do not write an ALL nan row to the store settable
             by the option 'io.hdf.dropna_table'.
+        data_columns : list of columns, or True, default None
+            List of columns to create as indexed data columns for on-disk
+            queries, or True to use all columns. By default only the axes
+            of the object are indexed. See `here
+            <https://pandas.pydata.org/pandas-docs/stable/user_guide/io.html#query-via-data-columns>`__.
+        encoding : default None
+            Provide an encoding for str.
+        errors : str, default 'strict'
+            The error handling scheme to use for encoding errors.
+            The default is 'strict' meaning that encoding errors raise a
+            UnicodeEncodeError.  Other possible values are 'ignore', 'replace' and
+            'xmlcharrefreplace' as well as any other name registered with
+            codecs.register_error that can handle UnicodeEncodeErrors.
+
+        See Also
+        --------
+        HDFStore.append_to_multiple : Append to multiple tables.
 
         Notes
         -----