The Hammers beat Olympiacos 1-0 on Thursday (09.11.23) to put themselves on the brink of qualifying for the knockout phase of the competition and Moyes was delighted to avenge his side's defeat in Greece last month.
The coach told TNT Sports: "I'm really pleased that we got the result because the result was the most important thing.
"We didn't play as well as we would have liked but they're a decent team and a well-seasoned European team and used to coming away in these competitions - more so than we are.
"In the end I think we were the ones who made the best chances, they didn't have too many chances to score. It was a little bit hairy towards the end, but largely we controlled it."
Moyes also offered his opinion on the debate about VAR and suggested that people only take notice of refereeing blunders when it affects the elite.
The Hammers boss said: "There’ve been a couple of big incidents that have been highlighted, but it’s mainly at the top clubs.
"It’s as if people don’t think that some other clubs have the same problems, the same VAR problems, the same decision-making. It doesn’t get the same highlight. We’re all pretty disappointed by what we’ve been getting back."
He added: "I think we’ve all been disappointed with some of the officiating this season. My single opinion wouldn’t matter a jot. They’ll do what they need to do."