He helped the club reach the quarter-finals of the League Cup in 1972–73 and in an earlier round captained the side against Bournemouth on 6 September 1972. He became the first player to score a penalty in all of the major competitions – the League, FA Cup and League Cup – when he scored from the spot in Blackpool's 2–1 victory over Bradford City A.F.C. at Valley Parade on 13 January. At the end of the season he again played in the Anglo-Italian Cup as Blackpool went undefeated, but were eliminated at the group stage by not scoring enough goals. Suddick scored his 100th League goal, a penalty, in Blackpool's 3–0 victory over Preston North End at Bloomfield Road on 23 March 1974. He missed much of the 1974–75 season with a re-occurrence of the leg injury that kept him out of action in 1970–71. Injuries would limit his appearances toward the end of his time at Blackpool and in October 1976 he was put on the transfer list. His last game came on 30 October, a 2–2 draw with Wolverhampton Wanderers.