Quintana (5-2) coughed up nine hits but allowed only one run, thanks in part to a pair of White Sox double plays turned behind him. The left-hander walked three and struck out four.
Ramon Troncoso, Donnie Veal and Nate Jones combined for 2 1/3 scoreless relief frames and Addison Reed hurled a 1-2-3 ninth for his 25th save as the White Sox took the rubber match of a three-game interleague set.
Mike Minor (9-5) absorbed a complete-game loss for National League East-leading Atlanta, surrendering three runs (two earned) on five hits over eight innings. He walked two and struck out eight.
Evan Gattis went 2-for-4 with an RBI for the Braves.