The Tigers reassigned Coleman to their minor-league camp Monday, Emily Waldon of The Athletic reports.
Coleman elected to become a free agent after being outrighted from the 40-man roster Wednesday.
Coleman recorded a blown save in Friday's 5-4 loss to the Twins, as he allowed an earned run on one hit over 1.2 innings of work.
Coleman (4-1) picked up the win in relief in Monday's 9-5 victory over the White Sox, working around two hits to pitch a scoreless inning.
Coleman (3-1) took the loss Tuesday against the Twins, as he gave up two earned runs while retiring just two batters. He walked two and struck out one.
Coleman (3-0) was the winning pitcher in Saturday's game against the Blue Jays, tossing a clean inning of relief with a strikeout.
Coleman (2-0) grabbed the win Wednesday against the Angels by tossing 1.1 scoreless innings of relief. He gave up one walk and struck out two.
Coleman was called up from Triple-A Toledo on Saturday.
Coleman signed a minor-league deal with Detroit on Friday, Chris Cotillo of SB Nation reports.
Diamondbacks signed RHP Louis Coleman to a minor league contract.