The former forward backs the youngster to be a 20-goal-a-season forward if given the chance.
The treble-winning striker is now a coach at Premier League side West Ham United but was full of praise for young striker Wilson, who has obviously caught his eye this season.
The 19-year-old has been used sporadically this season, but was in fine form fort the Under-21s on Monday, scoring the first goal in a 2-1 win over Everton, and Sheringham says he has all the necessary attributes to be a 20-goal-a-season striker for his club.
"I really like James Wilson," Sheringham said.
"He’s very direct, scores goals, has good pace and that added bonus of being a left-footer. I like his attitude, he looks a good player, a good prospect and one that everyone needs to keep an eye on."
As already mentioned, Sheringham also believes that Wilson is capable of becoming the 20-goal-a-season striker that manager Louis Van Gaal craves.
The Dutchman recently said that his side were not challenging for the title because they do not have a forward in that mould, according to the BBC, despite having Wayne Rooney, Robin Van Persie and Radamel Falcao on the books.
Sheringham, though, obviously does not agree with that comment, even adding that a partnership with the United captain could prove fruitful.
"It’s a shame for him that Radamel Falcao and Robin van Persie are in front of him,” added Sheringham.
“Louis van Gaal said recently that he doesn’t have a striker who can score 20 goals a season, but I think if you put Wilson up there with Wayne Rooney then you’d have two players who can reach those figures for you.”