Garcia (elbow) was pulled off his throwing program Tuesday after reporting discomfort following a bullpen session, Ryan Divish of The Seattle Times reports.
Garcia (shoulder) has begun throwing at extended spring training in Arizona, MLB.com reports.
The Mariners placed Garcia on the 15-day injured list, retroactive to Tuesday, due to right elbow inflammation.
Garcia recorded his 13th hold of the season in a loss to the Tigers on Thursday, allowing an earned run on a walk over two-thirds of an inning.
Garcia recorded his 12th hold in a win over the White Sox on Sunday, firing a perfect eighth inning.
The Mariners acquired Garcia from the Blue Jays on Friday in exchange for Jonatan Clase and Jacob Sharp, Jeff Passan of ESPN.com reports.
The Blue Jays activated Garcia (elbow) from the 15-day injured list Friday, Kaitlyn McGrath of The Athletic reports.
Garcia (elbow) will pitch for Triple-A Buffalo on Saturday, Kaitlyn McGrath of The Athletic reports.
Garcia (elbow) feels good following Wednesday's bullpen session and will begin a rehab assignment Saturday with Triple-A Buffalo, Shi Davidi of Sportsnet.ca reports.
Garcia (elbow) will throw a bullpen session Wednesday and will need at least one minor-league rehab appearance before being activated, Ben Nicholson-Smith of Sportsnet.ca reports.