The team was founded in 1972 in Atlanta as the Atlanta Flames until relocating to Calgary in 1980. The Flames played their first three seasons in Calgary at the Stampede Corral before moving into their current home arena, the Scotiabank Saddledome (originally known as the Olympic Saddledome), in 1983. In 1985--86, the Flames became the first Calgary team since the 1923--24 Tigers to compete for the Stanley Cup. In 1988--89, the Flames won their first and only championship. The Flames' unexpected run to the 2004 Stanley Cup Finals gave rise to the Red Mile, and in 2011 the team hosted and won the second Heritage Classic outdoor game.

Can we conclude that have the calgary flames won a stanley cup?
yes