West Ham boss David Moyes: "Our performance was not very good. We showed resilience to get the three points as Aston Villa made it really difficult for us.
"I don't want us to play badly, I want us to play well but the team have been excellent generally. The small things went for us tonight, we'll take that and move on."
Aston Villa manager Dean Smith: "I'm disappointed with the result but I thought we were great tonight. We've had enough chances to win the game and that's why it hurts so much.
"They've given the decision offside for his arm but the only reason his arm is there is that he's being fouled. If it's not a goal it should have been a penalty.
"I won't go home thinking about VAR. It frustrates everyone but there's nothing we can do about it."