The youngster is a regular for the Under-21 side and earned his first full Italy cap earlier this season.
"There is a lot of appreciation for Bonucci in England," agent Davide Torchia told calciomercato.it.
"In particular he is of great interest to the two Manchester clubs, United and City, but there are no official bids on the table yet.
"I would like for Leonardo to attract the attention of a big Italian side, without naming names.
"This way he would be able to continue his work and remain in the spotlight for the Azzurri."