After spells as an amateur with Colwyn Bay, Skelmersdale United and Wycombe Wanderers, 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.