Moyes criticised referee Lee Mason for having a "poor" game but accepted the official was not the cause behind his side's 1-0 defeat at home to Stoke.
"I thought the referee had a poor game," said the Scot.
"It is not the reason for our loss - far from it because that was down to our inability to make and take [chances].
"But there was a lot going on in the box and we got very little of it."
He continued: "We weren't peppered and lost the game that way. We defended a corner but didn't defend the edge of the box and they get the shot and the flick in.
"We hadn't done an awful lot wrong and we found ourselves a goal down.
"I don't think we deserved to be behind in the game but we had to go chasing it.
"What wins games is goals and they got the goal and we didn't."