Honzek was assigned to AHL Calgary on Thursday.
Honzek (upper body) was activated from injured reserve Wednesday.
Honzek (upper body) was able to fully participate in Friday's practice, albeit while serving on the fifth line.
Honzek (upper body) will not play against Carolina on Thursday, Pat Steinberg of Sportsnet 960 The Fan reports.
The Flames placed Honzek on injured reserve Saturday.
Honzek is week-to-week with an upper-body injury, the Flames announced Thursday.
Honzek (lower body) is expected to miss 6-8 weeks, Steve Ewen of The Vancouver Province reports.
Honzek inked a three-year, entry-level contract with Calgary on Wednesday.