Team Logo. The Cleveland Stokers were a team in the North American Soccer League (1968-1984). They were actually England's Stoke City playing under a different name in 1967 before joining the league. They became independent in 1968 before folding in 1969. Retrieved from "https://prosportsteams.fandom.com/wiki/Cleveland_Stokers?oldid=16637" Categories: NASL (1968-1984) Teams Teams in Ohio Teams in Cleveland Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.