United stunned the Premier League leaders 3-2 on Sunday night, with the home support booing loudly at the final whistle.
Asked about the jeers, Arteta said afterwards: "That's part of the demands and expectations that we want to win and that's it, and individually everybody can react in the manner that they need.
"I think it's the first time sitting here this season at home and we lost a game, so it's part of the journey to winning and if not, nobody will lose football matches, it's how we react to that and I am very convinced because I know those players in that dressing room and how much we want it that we're going to react immediately."
Pushed about the boos, Arteta insisted: "It doesn't matter, we have to do more so maybe that's not enough and we have to do more, there is nothing else.
"We have to do our very best, when you do that you can rest in peace, and today we really certainly tried to do our very best, but we weren't efficient enough against a team that is very well organised and we got punished because of our own mistakes as well."