The Red Devils are being linked with a move for the Portuguese midfielder, who currently stars with Wolves in the Premier League.
Neves, who is also linked to Arsenal, could fill in a gap in central midfield for United.
Parker spoke about Neves on the Talking Devils podcast: "When journalists speak about him they always use a variation of words to effectively say he's been around for ages.
"Has he reached his potential yet? I don't think he has. He was a standout player for Wolves but not consistent week in week out."
He added: "When you talk about someone striking the ball there's only one player I can remember doing that, and that's Paul Scholes.
"If he was playing for a Manchester United with the quality around him you will see his game improve… players come to United and lift another level.
"Yes, more have struggled, but someone like Neves, coming to play with his countryman Fernandes, you'll have someone who can play in deep areas and United have lacked that for a long time.
"It depends the path United want to take. Do they want a big name with a good marketing value or a big name who's a big footballer? If it's the latter, then Neves is a good player to go and get. And I think that's the path they need to go down."
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