Wright was optioned to Triple-A Gwinnett after Sunday's game against the Cardinals.
Wright was recalled on Friday after Matt Joyce was placed on the bereavement list, though he didn't appear in any games. He owns a 7.07 ERA and 1.79 WHIP across 14 big-league innings and hasn't fared much better at Triple-A as he's recorded a 7.57 ERA and 1.50 WHIP in 27.1 frames.