He signed with the Dodgers as an amateur free agent in 2009 and spent one season with the Dominican Summer League Dodgers before joining the domestic leagues with the Arizona League Dodgers in 2010 and Ogden Raptors in 2011. In 2012, he had a 3.02 ERA in 40 games with the Great Lakes Loons, including 14 saves. In a late season promotion to the Rancho Cucamonga Quakes he had a 2.53 ERA in 9 games. In 2013, he was 4-6 with a 2.54 ERA and 19 saves in 49 games with the AA Chattanooga Lookouts. The Dodgers added him to the 40-man roster on November 20, 2013 and promoted him to the AAA Albuquerque Isotopes. In 47 games for the Isotopes, he was 4-2 with a 3.10 ERA. He was called up to the Dodgers on September 1, 2014. He made his debut that night, in the eighth inning, against the Washington Nationals. He gave up a hit to the first batter he faced, Bryce Harper, and logged his first strikeout in the Major Leagues, working 2 innings and not giving up any runs. He pitched in eight games for the Dodgers, allowing only two earned runs in 10 innings. He also struck out nine batters while walking only one. Both of the runs he allowed were on solo homers. In 2015, he appeared in 59 games for the Dodgers and was 3–5 with a 3.34 ERA. He appeared in just nine games the following season, pitching 8 innings with a 3.24 ERA. He was shutdown on April 22 with right biceps soreness and experienced a setback on his rehab assignment on July 29, ending his season. He underwent arthroscopic surgery on his left knee in September and then on October 25 he underwent Tommy John surgery. Despite missing the entire 2017 season, the Dodgers signed him to a $630,000 one-year contract for 2018, to avoid salary arbitration. Garcia returned to the majors on May 3, 2018. The following day, against the San Diego Padres at Estadio de Béisbol Monterrey, he pitched a scoreless eighth inning and was one of four pitchers involved in a combined no-hitter as the Dodgers won 4–0. He pitched in 25 games in 2018, with a 5.64 ERA. The following year, he improved his numbers and as a result saw his usage rise. He appeared in 64 games for the Dodgers in 2019, with a 3.61 ERA and 66 strikeouts. On December 2, 2019, García was non-tendered and became a free agent.
Miami Marlins
On December 20, 2019, García signed a one-year contract with the Miami Marlins.
