Smith played six seasons with the Coyotes; he was 128-132-41 with a 2.69 goals-against average and .916 save percentage. In 21 games with the Flames this season, Smith is 11-8-1 with a 2.67 GAA and .921 save percentage.
Flames forward Jaromir Jagr will be back in the lineup after missing a 4-1 loss to the Toronto Maple Leafs on Tuesday with a lower-body injury. Jagr, 45, needs 43 games to surpass Gordie Howe (1,767) and become the all-time NHL leader in games played.
Calgary is 1-2-1 in its past four games after going 7-2-0 in its previous nine.
Arizona has lost two straight but is 4-2-1 in its past seven games after going 2-15-3 to start the season.