diff --git a/qiskit/transpiler/passes/optimization/collect_cliffords.py b/qiskit/transpiler/passes/optimization/collect_cliffords.py
index c0e9641923cd..40acd21c6855 100644
--- a/qiskit/transpiler/passes/optimization/collect_cliffords.py
+++ b/qiskit/transpiler/passes/optimization/collect_cliffords.py
@@ -22,6 +22,7 @@
 )
 
 from qiskit.quantum_info.operators import Clifford
+from qiskit.quantum_info.operators.symplectic.clifford_circuits import _BASIS_1Q, _BASIS_2Q
 
 
 class CollectCliffords(CollectAndCollapse):
@@ -69,21 +70,11 @@ def __init__(
         )
 
 
-clifford_gate_names = [
-    "x",
-    "y",
-    "z",
-    "h",
-    "s",
-    "sdg",
-    "cx",
-    "cy",
-    "cz",
-    "swap",
-    "clifford",
-    "linear_function",
-    "pauli",
-]
+clifford_gate_names = (
+    list(_BASIS_1Q.keys())
+    + list(_BASIS_2Q.keys())
+    + ["clifford", "linear_function", "pauli", "permutation"]
+)
 
 
 def _is_clifford_gate(node):
diff --git a/releasenotes/notes/fix-collect-clifford-83af26d98b8c69e8.yaml b/releasenotes/notes/fix-collect-clifford-83af26d98b8c69e8.yaml
new file mode 100644
index 000000000000..48eac19acc9d
--- /dev/null
+++ b/releasenotes/notes/fix-collect-clifford-83af26d98b8c69e8.yaml
@@ -0,0 +1,6 @@
+---
+fixes:
+  - |
+    Add more Clifford gates to the :class:`.CollectCliffords()` transpiler pass.
+    In particular, we have added the gates :class:`ECRGate()`, :class:`DCXGate()`,
+    :class:`iSWAPGate()`, :class:`SXGate()` and :class:`SXdgGate()` to this transpiler pass.