diff --git a/torch/ao/quantization/pt2e/graph_utils.py b/torch/ao/quantization/pt2e/graph_utils.py
index 2d4e73dee3577..2390bafed2868 100644
--- a/torch/ao/quantization/pt2e/graph_utils.py
+++ b/torch/ao/quantization/pt2e/graph_utils.py
@@ -25,7 +25,7 @@
     {torch.nn.BatchNorm2d, torch.nn.functional.batch_norm},
     {torch.nn.Hardtanh, torch.nn.functional.hardtanh, torch.nn.functional.hardtanh_},
     {torch.add, operator.add, operator.iadd, "add", "add_"},
-    {torch.mul, operator.mul, operator.imul},
+    {torch.mul, operator.mul, operator.imul, "mul", "mul_"},
 ]
 
 
diff --git a/torch/ao/quantization/quantizer/xnnpack_quantizer_utils.py b/torch/ao/quantization/quantizer/xnnpack_quantizer_utils.py
index 085c65b768bce..e89c06715b2e1 100644
--- a/torch/ao/quantization/quantizer/xnnpack_quantizer_utils.py
+++ b/torch/ao/quantization/quantizer/xnnpack_quantizer_utils.py
@@ -739,7 +739,7 @@ def _annotate_mul(
     filter_fn: Optional[Callable[[Node], bool]] = None,
 ) -> Optional[List[List[Node]]]:
     mul_partitions = get_source_partitions(
-        gm.graph, [operator.mul, torch.mul, operator.imul], filter_fn
+        gm.graph, ["mul", "mul_", operator.mul, torch.mul, operator.imul], filter_fn
     )
     mul_partitions = list(itertools.chain(*mul_partitions.values()))
     annotated_partitions = []