While Lyon's supporters protested their side's performance at full time by fighting with riot police, West Ham's players celebrated with their 3,000 visiting fans.
On facing Frankfurt, who beat Barcelona on Thursday night, Moyes said: "We'll give whoever a game. It's Frankfurt. It won't be easy. We'll have a great night at the London Stadium again.
"It's great for West Ham - seeing the football, the teams. It's been a monumental period for us to get the semi-final of a European competition.
"I'm hoping we can keep it going. I'm hoping we can talk about the final soon. It'll be a great opportunity for us. Like it will be for Eintracht Frankfurt. We're all hoping we can play well and get to the final."
Moyes acknowledged this represents an excellent chance for them to achieve Champions League football.
"We're not favourites to win the tournament, but I want the players to think they are. Tonight was a great squad ethic and performance," he said.
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