The Uruguay international is one of Europe's most highly-regarded centre-forwards and a hat-trick in a 4-1 win over Roma at the weekend took his tally to a remarkable 19 goals in his past 14 games.
With Mario Balotelli's future still in some doubt and Edin Dzeko reportedly a target for Inter Milan, City have been linked with a possible £50 million move for the Napoli star.
While Gregucci believes Cavani is happy in Naples, he has conceded City would be keen to bring him to England.
"I don't know if the club will lay siege to Napoli for Cavani, but every club with a player of the highest level will know they'll be courted by bigger clubs," Gregucci told Radio CRC. "Mancini decides the transfer targets along with the new directors.
"If you ask the clubs who can afford Cavani, for example Real Madrid, Bayern Munich and Manchester United, then I think they'd want Cavani just as Manchester City want him.
"However, what the player wants is the predominant factor in negotiations and it seems to me that Cavani is happy at Napoli."