"We are happy because we made the fans happy, we are happy because we are still in the fight to win a Europa League position."
Explaining the victory, he suggested that he set up his side to negate the danger posed by Arsenal's two full-backs, Kieran Tierney and Hector Bellerin.
"I think the game was more tactical than anything.
"To be honest I think Mikel [Arteta] found a way for them to play, to be stable and to improve - they are improving and we felt that we should adapt slightly to them and I think we did it very well.
"Because how many times Tierney and Bellerin normally reach the last third and how well they were controlled today. I think they were very controlled at that level."
However, Arsenal boss Arteta believed it was his side who had the upper hand.
"We are really sad, we wanted to give our fans a moment of glory and happiness," Arteta told Sky Sports.
"We tried our best, I am really proud of my players. I've never seen us play like this before, dominating an opponent as much as we did today. But we gave them a goal again, conceded at a set-piece and at that level you cannot do that.
"The game was ours, we had total control. They didn't generate anything, every time we pressed, they couldn't come out ball after ball. It's difficult to attack a low block like this, but we created enough chances. But the small details cost us and that is the biggest part we have to address as a team."
Chelsea have three games to save Kai Havertz deal – Euro Papers