His absence was not felt at all as Manchester City moved closer to securing a place in the top four of the Premier League table with a 3-1 victory over West Bromwich Albion.
The race for the final two tickets to next season's Champions League will go to the wire after Arsenal retained their slim hopes of finishing in the Premier League's top four thanks to a late burst from Alexis Sanchez against Sunderland on Tuesday.
But, they have an outside chance of catching Liverpool, who will host already-relegated Middlesbrough at Anfield, while Arsenal take on Everton.
The win means the Gunners will go into the final game of the season, at home to Everton, one point behind Liverpool in fourth spot.
"I think that's an insult to football as I've been a player myself", Moyes said.
Sunderland had threatened twice on the break, through Didier N'Dong and Jermain Defoe, and had a chance to lead straight after half-time from an indirect free-kick six yards out, but Sebastian Larsson scooped into the six-yard box and Arsenal cleared.
However, Wenger does not believe his side need a miracle, and insisted he does not know why a top four finish has become "a big problem" in recent times.
"I felt he had something still left", Wenger said.
"I want to absolutely make sure we are in there, but let's get to 75 points and see what happens". "Sunderland fought and you want that in the Premier League - that's what you want from every team". "Even if you have only one per cent chance, you would have to play totally at 100 per cent but I think we have a good chance". "Once he is on the pitch and has the ball he becomes a devil and forgets his pain". At least we have done our job well to the end.
Arsenal's 60,000-capacity stadium was only about two-thirds full for the penultimate home game of the season as some fan groups opted to stay away to mark their displeasure with the team's season.
"The difference in class showed, but the commitment and effort from my players was there all the way", said Moyes.
We set up to try and make it difficult for Arsenal and for long periods we did do but not only that but we created opportunities and the players worked really hard.