Police are studying television footage of a TV interview that took place after Monday 's Manchester derby following claims that City captain Vincent Kompany was racially abused.
The comments being investigated by the Greater Manchester force could be heard as Kompany and team-mate James Milner were interviewed after City's 2-1 victory at Old Trafford.
"Greater Manchester Police has not received a complaint about racist abuse directed towards any players following last night's fixture," a statement said. "However, we have been made aware of this footage by the Manchester Evening News.
"The force will work with both clubs and review any footage to investigate the incident."
Kompany scored an own goal, cancelling out Milner's opener for City, but a late strike from Sergio Aguero won the match for Roberto Mancini's side.
Information from the Press Association was used in this report.