Arteta struck with a stunning 25 yard strike three minutes from time to secure all three points.
"Chelsea won yesterday (against Wigan) while Newcastle have been very consistent over the last few games as well and Tottenham are still there, so it's going to be a big fight from now until the end of the season.
"But we knew that today was going to be one of the most difficult games we have until the end of the season.
"There was a lot to play for both teams today. It's going to be really tough for them (City) because of Manchester United winning and for us because if we lose today we would be two points behind them (Tottenham) and there's six games to go."