Atlanta signed Garcia to a minor-league contract Tuesday.
Garcia was released by the White Sox on Thursday.
Garcia didn't make the White Sox's Opening Day roster, Daryl Van Schouwen of the Chicago Sun-Times reports.
Garcia (hand) will return to the White Sox' Cactus League lineup Wednesday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Garcia is being viewed as a backup for the White Sox this season, per LaMond Pope of the Chicago Tribune.
White Sox acting manager Miguel Cairo disclosed Wednesday that Garcia hasn't appeared in a game since Sept. 20 due to ongoing back soreness, James Fegan of The Athletic reports.
Garcia is not in the lineup for Sunday's game against the Diamondbacks.
Garcia (back) was reinstated from the 10-day injured list Saturday.
Garcia (back) will begin a rehab assignment with Triple-A Charlotte on Friday, Daryl Van Schouwen of the Chicago Sun-Times reports.
Garcia was placed on the 10-day injured list with a lower back strain Wednesday.