Nasri was dismissed after an altercation with Canaries defender Sebastien Bassong.
It prompted a sarcastic response on Twitter from Barton, who was sent off for a violent outburst at the Etihad Stadium on the final day of last season.
The former City midfielder, currently on loan at Marseille from QPR, tweeted: “Nasri missed his headbutt. Sum’s his form up at the minute…”