diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 13585cbe5e857..61493170f811b 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -78,7 +78,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.Grouper PR02" \
         -i "pandas.Index PR07" \
         -i "pandas.IntervalIndex.left GL08" \
-        -i "pandas.IntervalIndex.set_closed RT03,SA01" \
         -i "pandas.MultiIndex PR01" \
         -i "pandas.MultiIndex.append PR07,SA01" \
         -i "pandas.MultiIndex.copy PR07,RT03,SA01" \
@@ -396,7 +395,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.arrays.IntervalArray.length SA01" \
         -i "pandas.arrays.IntervalArray.mid SA01" \
         -i "pandas.arrays.IntervalArray.right SA01" \
-        -i "pandas.arrays.IntervalArray.set_closed RT03,SA01" \
         -i "pandas.arrays.NumpyExtensionArray SA01" \
         -i "pandas.arrays.SparseArray PR07,SA01" \
         -i "pandas.arrays.TimedeltaArray PR07,SA01" \
diff --git a/pandas/core/arrays/interval.py b/pandas/core/arrays/interval.py
index ac5e1c049f10a..2e1ea7236e5c4 100644
--- a/pandas/core/arrays/interval.py
+++ b/pandas/core/arrays/interval.py
@@ -1436,12 +1436,26 @@ def closed(self) -> IntervalClosedType:
         """
     )
 
-    @Appender(
-        _interval_shared_docs["set_closed"]
-        % {
-            "klass": "IntervalArray",
-            "examples": textwrap.dedent(
-                """\
+    def set_closed(self, closed: IntervalClosedType) -> Self:
+        """
+        Return an identical IntervalArray closed on the specified side.
+
+        Parameters
+        ----------
+        closed : {'left', 'right', 'both', 'neither'}
+            Whether the intervals are closed on the left-side, right-side, both
+            or neither.
+
+        Returns
+        -------
+        IntervalArray
+            A new IntervalArray with the specified side closures.
+
+        See Also
+        --------
+        IntervalArray.closed : Returns inclusive side of the Interval.
+        arrays.IntervalArray.closed : Returns inclusive side of the IntervalArray.
+
         Examples
         --------
         >>> index = pd.arrays.IntervalArray.from_breaks(range(4))
@@ -1449,15 +1463,11 @@ def closed(self) -> IntervalClosedType:
         <IntervalArray>
         [(0, 1], (1, 2], (2, 3]]
         Length: 3, dtype: interval[int64, right]
-        >>> index.set_closed('both')
+        >>> index.set_closed("both")
         <IntervalArray>
         [[0, 1], [1, 2], [2, 3]]
         Length: 3, dtype: interval[int64, both]
         """
-            ),
-        }
-    )
-    def set_closed(self, closed: IntervalClosedType) -> Self:
         if closed not in VALID_CLOSED:
             msg = f"invalid option for 'closed': {closed}"
             raise ValueError(msg)