The Red Devils are interested in signing the Croatia international and have reportedly already had two bids knocked back, the second for a sum of around £39m - £5m short of Inter's supposed valuation.
Meulensteen, who spent six years at Old Trafford as part of the first-team coaching staff, believes that his former side should push ahead with another bid, while also continuing to pursue a move for fellow target Alvaro Morata.
"Perisic has good experience and pace and could come in and create things. He is comfortable on the ball, can beat a man and has a fantastic pass," he told 888sport.
"It's important that United have a man who can open up defences with one pass and he has that. He can offer them another level of a goal threat.
"Morata is a good striker, he's mobile, agile, and creates chances. The same can be said of Belotti but both would be coming from abroad and would have to adapt to the Premier League which we all know is difficult.
"If Belotti comes in it's important that he scores early and get the monkey off his back. Then he could be a good fit. For me, though, it would be Morata. We haven't seen enough of him lately but it is extremely hard to get into that Real team."
Chelsea are also said to have made an approach for Perisic, who cost Inter £14.5m when joining from Wolfsburg two years ago.