Fabian started in left field and went 0-for-2 in Friday's 5-1 loss to the Angels.
The Rangers selected Fabian's contract from Triple-A Round Rock on Wednesday, Evan Grant of the Dallas Morning News reports.
Fabian was assigned to minor-league camp Monday.
Fabian signed a minor-league contract with the Rangers on Wednesday that includes an invitation to spring training.
Fabian left Sunday's game at High-A San Jose after being struck by a pitch in the face, play-by-play announcer Joe Ritzo reports.
Fabian (undisclosed) went 0-for-2 with two walks Saturday in a minor-league game against the Arizona League Dodgers.
Fabian is on the 7-day IL at High-A San Jose with an undisclosed medical condition, Jim Callis of MLB.com reports.