Parry was at the ripe old age of 29 when he became a professional footballer having spent his playing days as an amateur in Colwyn Bay, Wales. He was an able full-back who was at Anfield for five years in the early 1920’s but he only made 13 League appearances in all that time while playing in five internationals for Wales. It was easier said than done to displace the outstanding trio of full-backs: Tommy Lucas, Donald Mackinlay and Ephraim Longworth. His Liverpool debut came against Derby County towards the end of the 1920/21 season but he hardly got a look-in as successive League Championships were won in 1922 and 1923. In the second of those title-winning seasons, ten men played in at least 37 of the 42 League games so the team almost picked itself.  After spending the majority of his Liverpool career as captain of the Central league side he moved to third division Walsall at 33 years of age before returning to Colwyn Bay.