The pair clashed verbally after Manchester City's 1-0 victory over Arsenal in the Carling Cup but the incident has not been reported to the Football Association.
Nasri, who had been 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."