Bracho's contract was selected from Triple-A Gwinnett on Wednesday.
Bracho was traded from Boston to Atlanta in late June, and he's posted a 2.08 ERA and 1.04 WHIP in 26 innings over 20 appearances (four starts) at Gwinnett. He had a brief stint in Atlanta's bullpen in early July and will rejoin the active roster ahead of the final week of the regular season.