Martin was optioned to Triple-A Charlotte on Wednesday.
The right-hander made his major-league debut as the starter in Tuesday's matchup against the Royals, and he took the unlucky loss while allowing a run on five hits and a walk while striking out seven in five innings. The 25-year-old will head back to the minors after Lucas Giolito (illness) was reinstated from the COVID-19 injured list, but Martin should be a candidate to rejoin the White Sox as a spot starter at some point.