Wilson, 19, is one of many who has come through the United academy in recent seasons and started the crunch match against Liverpool on Sunday.
Despite not finding the net so far this season, Wilson scored two on his debut against Hull back in May and should be encouraged by the fact Louis van Gaal chose him over Radamel Falcao on Sunday.
Solskjaer, who became one of the greatest goal scorers in recent times at Old Trafford is adamant Wilson should learn from Van Persie after working with him personally as reserve team coach several years ago.
“I got to work with the gang from 1993, with Ryan Tunnicliffe, Paul Pogba and so on, but James was among the 1995 boys,” Solskjaer told United Review.
“I watched him regularly playing in the under-18s and under-16s and we all knew he was going to have a chance.
“There’s definitely something there.
“He’s got pace, he can finish and, when his body fills out, he’ll improve even more.
“As a young striker, he can’t have a better mentor than Robin Van Persie – my message would be to just copy your game from his, it’s that simple.”
Wilson couldn’t be playing alongside Van Persie at a better time right now with the Dutchman in top form, bagging four goals in his last four games.