Pospisil notched an assist, three shots on goal, three hits and four PIM in Thursday's 5-1 win over the Sharks.
Pospisil scored a goal on two shots, added four PIM and logged three hits in Saturday's 5-2 win over the Canadiens.
Pospisil has served his three-game suspension and will be available to face Colorado on Tuesday.
Pospisil will have a hearing with the NHL Department of Player Safety on Wednesday for boarding Seattle's Vince Dunn during Monday's 4-2 loss to the Kraken.
Pospisil scored a goal and added six hits in Saturday's 6-3 win over the Oilers.
Pospisil scored a goal on four shots, added two PIM and doled out seven hits in Thursday's 3-2 overtime win over the Bruins.
Pospisil signed a two-year, $2 million contract extension with the Flames on Wednesday.
Pospisil (upper body) skated at practice Saturday, but will remain out of the lineup versus Chicago, according to Pat Steinberg of Sportsnet 960 The Fan.
Pospisil (upper body) was placed on injured reserve Saturday, per the NHL media site.
Coach Ryan Huska told Salim Nadim Valji of TSN on Saturday that Pospisil (upper body) will miss at least the next few games.