West Ham will host Arsenal in the fourth round of the Carabao Cup.
Rice left the Hammers this summer for £105m right after leading them to glory in the Europa Conference League.
Having made 245 appearances for West Ham and given his all for the club, Moyes is not expecting any hostile reception from the club's fans towards Rice.
“You’ve got to remember this is the man who lifted this club’s first European trophy in more than 50 years,” said Moyes.
“He should be welcomed back with open arms. We’re all looking forward to seeing him again.
“He was a brilliant member of the team. He led the team brilliantly well. He conducted himself impeccably as a West Ham captain and as a player.
“The most important thing was that he gave 100 per cent in every game, even though we sort of knew he probably wasn’t going to stay at West Ham. So all credit to him. He conducted himself brilliantly well and for that alone he deserves to be cheered.
“I’m really looking forward to seeing Dec again. I’ve not seen him since he left. I don’t know if I want him to play, but I hope he’s there.”
