Garcia was traded to the Cardinals on Thursday in exchange for international slot money, Meghan Montemurro of The Athletic reports.
Garcia will play in the Arizona Fall League this year, Corey Seidman of CSN Philadelphia reports.
Garcia (shoulder) made his season debut for Double-A Reading on Wednesday, allowing a run on three hits and walk, while striking out two.
Garcia (shoulder) threw a bullpen session Friday, Matt Gelb of The Philadelphia Inquirer reports.
Garcia was reinstated from the restricted list at Double-A Reading on Monday, Stephen Gross of The Allentown Morning Call reports.