diff --git a/pandas/core/arrays/datetimelike.py b/pandas/core/arrays/datetimelike.py
index 973fdbdc4014c..16cb771d0f642 100644
--- a/pandas/core/arrays/datetimelike.py
+++ b/pandas/core/arrays/datetimelike.py
@@ -5,8 +5,7 @@
 
 import numpy as np
 
-from pandas._libs import NaT, NaTType, Timestamp, algos, iNaT, lib
-from pandas._libs.tslibs.period import DIFFERENT_FREQ, IncompatibleFrequency, Period
+from pandas._libs import NaT, NaTType, Period, Timestamp, algos, iNaT, lib
 from pandas._libs.tslibs.timedeltas import delta_to_nanoseconds
 from pandas._libs.tslibs.timestamps import (
     RoundTo,
@@ -740,7 +739,7 @@ def _validate_shift_value(self, fill_value):
             # only warn if we're not going to raise
             if self._scalar_type is Period and lib.is_integer(fill_value):
                 # kludge for #31971 since Period(integer) tries to cast to str
-                new_fill = Period._from_ordinal(fill_value, freq=self.freq)
+                new_fill = Period._from_ordinal(fill_value, freq=self.dtype.freq)
             else:
                 new_fill = self._scalar_type(fill_value)
 
@@ -1091,7 +1090,7 @@ def _resolution(self):
         return frequencies.Resolution.get_reso_from_freq(self.freqstr)
 
     @property  # NB: override with cache_readonly in immutable subclasses
-    def resolution(self):
+    def resolution(self) -> str:
         """
         Returns day, hour, minute, second, millisecond or microsecond
         """
@@ -1274,41 +1273,11 @@ def _sub_nat(self):
         return result.view("timedelta64[ns]")
 
     def _sub_period_array(self, other):
-        """
-        Subtract a Period Array/Index from self.  This is only valid if self
-        is itself a Period Array/Index, raises otherwise.  Both objects must
-        have the same frequency.
-
-        Parameters
-        ----------
-        other : PeriodIndex or PeriodArray
-
-        Returns
-        -------
-        result : np.ndarray[object]
-            Array of DateOffset objects; nulls represented by NaT.
-        """
-        if not is_period_dtype(self.dtype):
-            raise TypeError(
-                f"cannot subtract {other.dtype}-dtype from {type(self).__name__}"
-            )
-
-        if self.freq != other.freq:
-            msg = DIFFERENT_FREQ.format(
-                cls=type(self).__name__, own_freq=self.freqstr, other_freq=other.freqstr
-            )
-            raise IncompatibleFrequency(msg)
-
-        new_values = checked_add_with_arr(
-            self.asi8, -other.asi8, arr_mask=self._isnan, b_mask=other._isnan
+        # Overridden by PeriodArray
+        raise TypeError(
+            f"cannot subtract {other.dtype}-dtype from {type(self).__name__}"
         )
 
-        new_values = np.array([self.freq.base * x for x in new_values])
-        if self._hasnans or other._hasnans:
-            mask = (self._isnan) | (other._isnan)
-            new_values[mask] = NaT
-        return new_values
-
     def _addsub_object_array(self, other: np.ndarray, op):
         """
         Add or subtract array-like of DateOffset objects
diff --git a/pandas/core/arrays/period.py b/pandas/core/arrays/period.py
index 8be714820d18b..80a78409a3036 100644
--- a/pandas/core/arrays/period.py
+++ b/pandas/core/arrays/period.py
@@ -604,6 +604,37 @@ def _sub_period(self, other):
 
         return new_data
 
+    def _sub_period_array(self, other):
+        """
+        Subtract a Period Array/Index from self.  This is only valid if self
+        is itself a Period Array/Index, raises otherwise.  Both objects must
+        have the same frequency.
+
+        Parameters
+        ----------
+        other : PeriodIndex or PeriodArray
+
+        Returns
+        -------
+        result : np.ndarray[object]
+            Array of DateOffset objects; nulls represented by NaT.
+        """
+        if self.freq != other.freq:
+            msg = DIFFERENT_FREQ.format(
+                cls=type(self).__name__, own_freq=self.freqstr, other_freq=other.freqstr
+            )
+            raise IncompatibleFrequency(msg)
+
+        new_values = algos.checked_add_with_arr(
+            self.asi8, -other.asi8, arr_mask=self._isnan, b_mask=other._isnan
+        )
+
+        new_values = np.array([self.freq.base * x for x in new_values])
+        if self._hasnans or other._hasnans:
+            mask = (self._isnan) | (other._isnan)
+            new_values[mask] = NaT
+        return new_values
+
     def _addsub_int_array(
         self, other: np.ndarray, op: Callable[[Any, Any], Any],
     ) -> "PeriodArray":