An openside flanker, Parry played for Bedwas in the 2017–18 season of the Welsh Premier Division, then moved on to Pontypridd.[3] Parry, whose mother is from Ontario, was called up by Canada in 2023 after their Welsh-born coach Kingsley Jones saw a highlights video of Parry that had been sent to him by a mutual contact. He gained two caps in 2023, both against Tonga, the first off the bench and the second as part of the starting lineup.[2]