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.
"Sami was speaking in French and Mani wasn't. It was handbags but they didn't even touch."
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."