Team Logo. The Quad City Flames were a team in the American Hockey League. They were the top affiliate of the Calgary Flames. In 2009, they moved to British Columbia and became the Abbotsford Heat. Retrieved from "https://prosportsteams.fandom.com/wiki/Quad_City_Flames?oldid=16885" Categories: Former AHL Teams Teams in Illinois Teams in Moline Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.