Suddick made his Blackpool debut on 26 December 1966, in a 4–1 home defeat by West Ham United, and was virtually ever-present from that point on, striking up a partnership with Tommy Hutchison on the left or deep in midfield. Five days after his debut Suddick scored his first goal for the club in a 5–1 win at Southampton. In 1968–69, he was Blackpool's top scorer with twelve goals, missing just one game all season. He was part of the Blackpool team that won promotion to the First Division in 1969–70, and played in every league and cup match. He also played a big part in "the Seasiders"' FA Cup third round replay victory over Arsenal at Bloomfield Road on 15 January 1970, when Blackpool, 2–0 down at half-time, came back to win 3–2 with Suddick scoring the first goal.