Nasri - given a torrid time by the Gunners fans on his first return to Arsenal since his summer move to City - and Frimpong were involved in a heated exchange after leaving the pitch at the final whistle.
An Arsenal spokesman said: "Words were exchanged - that was that, there were no punches thrown but there was a lot of noise.
After Nasri sealed his move to Man City in August, Arsenal player Jack Wilshere tweeted: "Good luck to my friend @Nanas08 (mr Nasri) learnt a lot from him. World class player! Will be missed!"
An unimpressed Frimpong replied: "Pffffff comeon Jack."