The agent of Paul Pogba and Zlatan Ibrahimovic does not represent either player, but he has publicly advised Dybala to consider a transfer to Old Trafford or one of Europe's giants.
Speaking to Rai Sport (h/t Tom Olver of Metro), Raiola said the Argentina international is certain to exit the Italian champions in future:
"In the end, Dybala will leave Juventus.
"And if he does he should go to a team with a project already formed where he can join.
"Because he is still too young to be the leader of a new project.
"I would love to see Barcelona, Real Madrid, Manchester, both City and United, but always in a big project."
Dybala has already scored five goals in three Serie A appearances this term, according to WhoScored.com, and is ready to join the superstar names at the top of European football.
Raiola has also tipped Napoli's Insigne for a big move and said he has the quality to play for United, Real Madrid or Barcelona.
The agent told La Domenica Sportiva (h/t Olver) the attacker could leave Serie A, prompting criticism from Napoli club president Aurelio De Laurentiis.
"Napoli play football appreciated all over the world, that is obvious and everywhere I go, colleagues ask me about them.
"De Laurentiis should be happy that [Napoli coach Maurizio] Sarri is appreciated.
"Insigne has a contract. We seem to want players to become slaves of either clubs or agents.
"I merely expressed an opinion, that Insigne could happily play for Barcelona, Real Madrid or Manchester United."
Insigne's reputation has exploded in recent seasons, with the diminutive winger becoming one of Italy's most clinical talents.
Per WhoScored, the player scored 18 goals and provided nine assists in Serie A last season, claiming multiple man-of-the-match awards.
In other news, United continue to monitor the talents of Anderlecht midfielder Leander Dendoncker after the closure of the summer transfer window.
Both Dybala and Insigne are small in stature but carry immense talent as they're considered for moves to the top tier of the game.
Italian football has a proud tradition with some of the greatest clubs in history, but the nation has fallen behind England and Spain when it comes to domestic competition and rewards.
Either talent would suit manager Jose Mourinho's attack, but Insigne's style would benefit United's current attackers.
Romelu Lukaku would thrive with the Italy international in the squad, and Mourinho clearly wanted to add a wide player during the summer after the pursuit of Inter Milan's Ivan Perisic, per Metro's Mark Brus.