After spells as an amateur with Colwyn Bay, Skelmersdale United and Wycombe Wanderers Peter Suddaby began his professional career with Blackpool in 1970, and went on to make over 300 league appearances in a decade at the club. He made his debut for Blackpool on 23 January 1971, in a defeat at West Ham United in the fourth round of the FA Cup.
He made a twelve League appearances in the 1970-71 season, at the conclusion of which Blackpool were relegated to Division Two after one season in the top flight. In 1971-72 Peter appeared in all but the final league game of the season. He scored two goals – against Leyton Orient in a 4–1 victory at Bloomfield Road on 9 October 1971, and in a 5–0 whitewash of Watford, also at home, on New Year’s Day.
During a single-goal defeat by Fulham on 30 November 1974, Peter damaged his back and had to have a disc removed to alleviate the problem. As a consequence, he missed almost the rest of the 1974-75 campaign. Over the next three seasons, Suddaby made 102 league appearances. In 1975-76, he made 38 league appearances and scored four goals – two of which came in a 3–2 victory over Luton Town at Bloomfield Road on 4 October 1975.
In 1976-77, Peter was an ever-present in new manager Allan Brown’s team helping the club to a fifth-placed Division Two finish. The following season, 1977-78 Peter scored Blackpool’s goal in the opening league game of the season, at home to Oldham Athletic. He went on to make 39 more appearances in the league campaign, at the end of which Blackpool were relegated to Division Three for the first time. In 1978-79 under new manager Bob Stokoe Peter appeared in 42 of Blackpool’s 46 league games, scoring twice.
Peter’s final season at Blackpool, 1979-80 saw him start in fifteen of the first sixteen league games, before he was sold to Brighton & Hove Albion in November 1979. After 23 league games for Brighton, Peter had a short stint at Wimbledon before returning to Wycombe Wanderers in 1982 for his final spell as a player.