The return of Cristiano Ronaldo and the arrivals of England winger Jadon Sancho and France defender Raphael Varane have raised expectation levels at Old Trafford, where the league trophy was last lifted in 2013.
Moyes, who took over from Sir Alex Ferguson as United boss after that triumph but lasted only 10 months in the job, believes Solskjaer has been given the time he was not afforded and the players to end their nine-year drought.
"I think we're a good team," added Moyes. "I think we're getting better. We might not always show it, but I think we're OK.
"I'm really looking forward to it. The London Stadium was incredible in the games against Leicester and against Crystal Palace.
"We've got a different West Ham support in the stadium. A great support behind the team.
"I think they're seeing a new team as well so from that point of view I hope we'll have a rocking stadium. But it won't be anything that Man United aren't used to. Wherever they go they are used to this situation."