The Swedish attacking midfielder has scored 19 goals in all competitions during his first season with the Scottish club.
Despite doubters questioning his all-round performances, the 24-year-old has become a key player during crucial moments for the team.
Former Arsenal and Everton winger Anders Limpar, a fellow Swede, believes Nygren has the potential to thrive with another chance-creating club, such as United.
He told FruityKing: "Henrik Larsson was an idol when he played for Celtic and he played for Barcelona too and Benjamin Nygren isn’t playing for Sweden when Alexander Isak and Viktor Gyokeres are fit but now that Isak can’t he is definitely going to start upfront against Ukraine. He’s knocked in 20 odd goals (actually 19) in Scotland.
"He is a prospect and he's going to get better. Imagine him playing for a top Premier League side. I'm not saying that Celtic are not top side but they are in Scotland. Nygren could play for Manchester United and he’d probably score 20 goals a season in the Premier League.
"He's that good. I just wish him all the best but he is another player I wish to see stay a couple of seasons at Celtic, to settle in and then go. But he will definitely play a big role for Sweden with Viktor upfront."
Limpar also considers Nygren a good match for one of his former clubs, the Toffees.
He thinks Scottish manager David Moyes would be interested in working with such a player.
He added: "Would David Moyes love to have Benjamin Nygren at Everton? Yes, because he's so mobile.
"He can come deep, receive the ball, and I think he has better technique than Viktor Gyokeres, but he's not close to the whole picture of Viktor as a player yet. He is scoring vital goals for Celtic and he's doing well.
"I saw him for Sweden against Switzerland away and he did ok. He is a prospect. He has a nose for scoring goals. We like him in Sweden and I wish him all the best."