Eleven arrests were made at Sunday's Manchester derby at the Etihad Stadium.
Greater Manchester Police reported minor incidents of disorder and fighting between supporters around the ground before kick-off and after the final whistle, but no major incidents.
All those arrested are men and all remain in custody.
One was arrested for allegedly assaulting a police officer.
Another was held on suspicion of being drunk and disorderly, two were on suspicion of committing affray and another was for possession of cannabis with intent to supply.
Five arrests were made for alleged public order offences, with incidents including fighting and using threatening behaviour, and the other was for criminal damage.
The Barclays Premier League match saw Manchester City beaten 1-0 by Manchester United thanks to a first-half Marcus Rashford strike.