A national commission on the prevention of sports-related violence met earlier on Tuesday to discuss several fan groups, including Legion X and two groups affiliated with St Etienne.
French football has been marred by crowd trouble for years, with supporters clashing with visiting players and throwing missiles onto the pitch.
Paris FC was recently acquired by the family of French billionaire Bernard Arnault, who have said they aim to lift the club to be among the elite of French and European football.