The Sherrone Moore firing just took a turn — the former Michigan Wolverines football coach was detained by cops shortly after the school announced his termination.

The rumors are running wild on social media … but as of right now, the only thing cops will say is the 39-year-old coach was located and detained by police in Saline, Michigan on Wednesday.

The university stated Moore got the boot for having an “inappropriate relationship with a staff member” … and claimed it had “credible evidence.”

“This conduct constitutes a clear violation of University policy, and U-M maintains zero tolerance for such behavior,” the school added.

Moore just led the Wolverines to a 9-3 season … but the program missed out on making the College Football Playoff.