Right-hander Tyler Cravy was recalled from triple-A Colorado Springs on Tuesday to replace Garza.
Garza departed an exhibition game start Friday in the fourth inning with what was then described as right shoulder tightness.
The veteran right-hander was looking to rebound from his worst season since his rookie year with Minnesota in 2006. He was 6-14 with a 5.63 earned-run average in 25 starts last season.
Garza was 1-0 with a 4.50 ERA in six starts in spring training.
Commissioner to rule on Jose Reyes case soon
Commissioner Rob Manfred said he expects to rule soon on possible discipline for Colorado Rockies shortstop Jose Reyes.
Reyes was scheduled to go to trial April 4 after pleading not guilty to abusing a family or household member, a charge that stemmed from an Oct. 31 incident with his wife at a Maui resort hotel.
Reyes was suspended with pay under baseball's new domestic-abuse policy, an action Manfred took just before the shortstop was to report to spring training.
Hawaii prosecutors dropped charges last week and said Reyes' wife was not cooperating.
Wrigley Field's marquee to be reinstalled
The Chicago Cubs announced that Wrigley Field's iconic marquee is scheduled to be reinstalled Wednesday after an off-season restoration that included structural repairs and cosmetic work.
The work is part of an ongoing multiyear transformation of the ballpark and surroundings that includes a new home clubhouse this season.
Chicago hosts Cincinnati in Monday's home opener.
MLB approves use of wearable technology
Major League Baseball's playing rules committee approved two wearable technology devices for use during games this season, two people familiar with the decision told the Associated Press. The Motus Baseball Sleeve measures stress on elbows and the Zephyr Bioharness monitors heart and breathing rates.
In addition, the committee approved two sensors for use during workouts, one from Blast Motion and the other from Diamond Kinetics.
People spoke about the decision on condition of anonymity because no announcements were authorized by MLB or the players' association.
Clubs may use the data only for internal purposes, and it will be shared with the player. It cannot be provided to broadcasters or used for commercial purposes.