The Citizens squandered an early lead at Stamford Bridge in their last outing as they saw their lead in the league cut to just two points, but the central defender feels the squad will react ahead of Sunday’s challenge.
“Monday has made us feel more hungry,” Kompany told The Times.
“We want Sunday to come as quickly as possible and to play football again. That is the kind of team we are.
“In those kinds of moments we react and we are eager to do it on Sunday."
The loss to the Blues, their first defeat of the domestic season, means that City have picked up just four points from their last three matches, though they maintain a 100 per cent record at the Etihad Stadium, something which the Belgian feels will be a factor.
“I definitely have a lot of respect for Arsenal,” he added.
“On Sunday, we are looking to do what they have done. They have picked themselves up after a difficult month. The way they have done that is absolutely incredible.
“There is no reason for us to be arrogant about this fixture. Arsenal are a great team. But we can beat great teams. I consider them as a top team, who will make a top game of it. But we are a difficult team to beat at home.
“In the big games, even when we didn’t win, we still looked like the team that was most likely to win the game.”
Kompany argued that seeing six teams fight it out for the Premier League title proves the difficulties that City face this season, with fixtures in other competitions adding to the toughness.
“You might have a dream about how your season will go but you don’t have a plan,” he continued.
“Looking at it, our position two points clear at the top means the other teams have done an incredible job as well to keep up with it.
“It just shows there is not going to be an easy way to success this year. Our Champions League group [from which we failed to qualify] was the proof of that, the fact we are playing Manchester United in the FA Cup underlines it even more and, after beating Arsenal, we now have Liverpool in the League Cup semi-final.”
Sunday’s game at home to the Gunners will be closely followed by the visit of Stoke City on December 21.
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.