Team Logo. Team Hawaii was a team in the North American Soccer League (1968-1984). They missed the playoffs in their only season. In 1978 they moved to Oklahoma and became the Tulsa Roughnecks. Retrieved from "https://prosportsteams.fandom.com/wiki/Team_Hawaii?oldid=16755" Categories: NASL (1968-1984) Teams Teams in Hawaii Teams in Honolulu Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.