Team Logo. The Chicago Cougars were a team in the World Hockey Association. They played some home games in another arena because a production of "Peter Pan" was booked in their regular arena. They folded after only three seasons. Retrieved from "https://prosportsteams.fandom.com/wiki/Chicago_Cougars?oldid=7063" Categories: World Hockey Association teams Teams in Illinois Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.