Arsenal travel to face bottom-club Wolves on Wednesday after effectively ending City’s hopes of winning the league by beating them 1-0 at the Emirates on Sunday.
The win also moved the Gunners to within 10 points of Roberto Mancini’s side with six games remaining.
“I believe we will finish third,” said the Arsenal goalkeeper. “Man City have lost their chance of the title – it was a big blow to us last year and they might drop a little bit, so who knows maybe we can catch them as well.
“Our aim is to win every game and if we do that we will be in the Champions League next season.”
The Gunners are two points ahead of the future England manager’s side and will play two games before Spurs play again. Win them both and Spurs will be facing an 8 point gap with five matches to go, a gap that they will not be able to close.