Paris Saint Germain coach Christophe Galtier was held for questioning along with his son as part of a probe into alleged discrimination.
The move follows an investigation launched in April, following claims he made racist and Islamophobic remarks about players when he coached Nice in the 2021/22 season.
The prosecutor said they would provide more information on the arrests of Galtier and his son John Valovic-Galtier.
Galtier is set to be fired by the Qatari owners of PSG after a largely underwhelming season in which PSG suffered 10 defeats in 2023.