The Scotsman told reporters at his post-match press conference that his players will stick together and push on from Saturday's defeat.
"I have told [the players] we are all sticking together, we are going to stick our chests out and go again," Moyes said. "We will get back to winning ways, do it quickly, play better for longer periods of the game, certainly defend better and in the short periods we have been under pressure, we coped well up until they scored.
"We have got attacking players who can score, they didn't do today. We get back at it and do our job. When I cam in, I didn't think it would be that easy and maybe we are not in our best period of form at this time but I do think we are good enough to stay up.
"I wasn't there, I was on the pitch looking at the game but, the supporters will have their reasons for it and their ways of venting that but all I can answer is that you're not allowed to come on the pitch."
West Ham return to action with another crunch match against relegation-threatened Southampton at the end of the month.