Wenger admitted that it was a hard fought win and that they would have faced a FA cup humiliation had it been the players shown less efforts and determination.
The Gunners were given a real run for their money by a team which is ranked 105 places below them in the English league system.
Thanks to goals from Luas Perez and Theo Walcott which earned Arsenal a victory, even as Sutton fought to the very end of the match.
When asked if it has been a case of 'job done', the French coach replied, "Yes, against a side that was astonishing".
"We had to keep our focus. I must give credit to the players who were professional and kept their focus.
If we had come here in a relaxed mood, we would have gone out because they produced quality."
Arsenal will now host another non-league side, Lincoln city in the quarterfinals.