Arsenal boss Mikel Arteta admits defeat at home to West Ham leaves them "very, very disappointed".
The Hammers won 2-0 thanks to goals from Tomas Soucek and former Gunners defender Dino Mavropanos.
Moyes said: "We want to be at the top and today we are very, very disappointed. We had so much dominance in the game. We are in a really good position. Today is a disappointing night. We have to pick ourselves up for a big game against Fulham."
On whether the first goal should have stood, he continued: "It is what it is. The technology we have at the moment is not clear enough if the ball is out.
"We dominated for 100 minutes. When we had big situations, we had players inside the box totally free. I think the players put an enormous effort in. It's a difficult dressing room right now but we have another game in 72 hours.
"This is football, we have to improve in certain areas."