diff --git a/qiskit/transpiler/preset_passmanagers/builtin_plugins.py b/qiskit/transpiler/preset_passmanagers/builtin_plugins.py
index 3dc89850e37..ca21bd2a3b5 100644
--- a/qiskit/transpiler/preset_passmanagers/builtin_plugins.py
+++ b/qiskit/transpiler/preset_passmanagers/builtin_plugins.py
@@ -39,7 +39,7 @@
     CommutativeCancellation,
     Collect2qBlocks,
     ConsolidateBlocks,
-    CXCancellation,
+    InverseCancellation,
 )
 from qiskit.transpiler.passes import Depth, Size, FixedPoint, MinimumPoint
 from qiskit.transpiler.passes.utils.gates_basis import GatesInBasis
@@ -47,6 +47,23 @@
 from qiskit.passmanager.flow_controllers import ConditionalController
 from qiskit.transpiler.timing_constraints import TimingConstraints
 from qiskit.transpiler.passes.layout.vf2_layout import VF2LayoutStopReason
+from qiskit.circuit.library.standard_gates import (
+    CXGate,
+    ECRGate,
+    CZGate,
+    XGate,
+    YGate,
+    ZGate,
+    TGate,
+    TdgGate,
+    SwapGate,
+    SGate,
+    SdgGate,
+    HGate,
+    CYGate,
+    SXGate,
+    SXdgGate,
+)
 
 
 class DefaultInitPassManager(PassManagerStagePlugin):
@@ -468,7 +485,22 @@ def _opt_control(property_set):
                     Optimize1qGatesDecomposition(
                         basis=pass_manager_config.basis_gates, target=pass_manager_config.target
                     ),
-                    CXCancellation(),
+                    InverseCancellation(
+                        [
+                            CXGate(),
+                            ECRGate(),
+                            CZGate(),
+                            CYGate(),
+                            XGate(),
+                            YGate(),
+                            ZGate(),
+                            HGate(),
+                            SwapGate(),
+                            (TGate(), TdgGate()),
+                            (SGate(), SdgGate()),
+                            (SXGate(), SXdgGate()),
+                        ]
+                    ),
                 ]
             elif optimization_level == 2:
                 # Steps for optimization level 2