“If I could only choose one it would be Leicester,” he told BBC Sport.
Mancini and Carlo Ancelotti are the only Italian managers to win the Premier League and the Inter Milan boss hopes Claudio Ranieri can join the club.
“Ranieri is a good man,” said Mancini. “He knows football very well. I hope he will be the third Italian to do it. For a team like Leicester to win the Premier League against the biggest teams like Manchester United, Chelsea and Arsenal, it would be incredible.”