Step 1: Recall the surgical principle of parathyroid autotransplantation. The chosen muscle must be superficial, richly perfused, and reachable later without major surgery if the grafted tissue becomes overactive.
Step 2: The forearm brachioradialis satisfies all three conditions, which is why it is the classic and commonest recipient muscle, with the presternal area as an alternative.
Step 3: A forearm graft is also conveniently placed away from the original neck field, so any future re-exploration avoids dense neck scarring. The deltoid, sartorius and supinator are not standard parathyroid graft beds.
Step 4: The muscle used for parathyroid implantation is the brachioradialis.\[\boxed{Brachioradialis}\]