The forwards have inked one-year, two-way deals with Calgary.
Twenty-three teams will qualify for the postseason in 2022.
The blueliner skated in 21 games with the Heat last season.
The Flames signed defenseman Andy Welinski to a two-way deal.
Calgary signed three players to two-way deals Wednesday.
Calgary extended qualifying offers to 12 players.
The Heat's full 2021-22 schedule is now available.
Stockton opens the 2021-22 season at home against the Tucson Roadrunners.