Zary's lower-body injury won't require surgery but he is considered out indefinitely, the Flames reported Friday.
Zary (lower body) was placed on injured reserve Friday, according to Tom Gulitti of NHL.com.
Zary scored a goal on two shots and added a power-play assist in Saturday's 6-4 win over the Blackhawks.
Zary scored a power-play goal on two shots and added two hits in Wednesday's 2-1 overtime loss to the Red Wings.
Zary notched an assist and two shots on goal in Thursday's 4-2 loss to the Hurricanes.
Zary notched an assist, two shots on goal and two PIM in Saturday's 6-3 win over the Flyers.
Zary logged an assist and two hits in Thursday's 5-1 win over the Sharks.
Zary produced an assist and two shots on goal in Thursday's 4-1 loss to the Kings.
Zary posted an assist and three shots on goal in Tuesday's 3-1 loss to the Blackhawks.
Zary (upper body) was activated Saturday from injured reserve, per the NHL media site.