City, who are set to face Napoli in the Champions League on Tuesday night, have long been linked with the trio.
Cancellieri said in a recent radio interview: “I confirm the interest of Manchester City in Hamsik, Lavezzi and Cavani, and I think that this should only please Napoli fans.
“Napoli are a growing team who do not want to sell their best players. The strength of Napoli is the very soul and compactness of the group.
“Cavani, in particular, has always been my ‘bullet’ – a player I like a lot.
“Other than Ibrahimovic, Cavani is the most incisive attacker in Serie A and his agent knows well Manchester City’s appreciation for his client.”
Cavani’s current contract with Napoli is set to expire in the summer of 2016.