García debuted for Ciego de Ávila in 2005-2006, going 3–5 with 5 saves and a 6.04 earned run average (ERA) at age 17.
In 2006-2007, he improved to 4–5, 1.68 with 14 saves (tied for the Serie Nacional lead) and did not give up a home run in 53+2⁄3 innings pitched (IP).
García went 7–5 with 10 saves and a 3.07 ERA in 2007-2008, led the league with 16 intentional walks and almost made Cuba's team for the 2008 Olympics.
He had a 0.75 ERA and 10 saves early in the 2008–2009 season and was put on Cuba's roster for the 2009 World Baseball Classic.
García tossed five shutout innings, fanning seven, in the 2009 World Port Tournament; he saved one game.