Garcia was optioned to Triple-A Scranton/Wilkes-Barre after Wednesday's doubleheader sweep over the Twins.
Garcia was called up ahead of the twin bill and will return to the minors without seeing game action. The 23-year-old has yet to see big-league action this year and has a 9.11 ERA, 2.02 WHIP and 22:17 K:BB over 26.2 frames at Triple-A.