The 18-year-old striker took his season tally to seven when he scored the equaliser in Sunday's 1-1 draw with Everton.
And Neville thinks Greenwood is already a better finisher than teammate Marcus Rashford.
"I like Greenwood a lot," he told Sky Sports. "The composure that he shows at such a young age, his great physical presence.
"The way in which he finishes is that of a top centre-forward. Sometimes when you see a young player in front of goal, they panic a bit and snatch at things - [Daniel] James and [Jesse] Lingard do that quite a lot.
"But I'd say Greenwood is a better finisher than Rashford - and that's saying something. He really does look the real deal. I think Solskjaer knows that and he's going to bleed him in."