Hamsik and Lavezzi are thought to be on City's wanted list as possible replacements for the unsettled Carlos Tevez.
City boss Roberto Mancini has previously admitted he was keen on signing Hamsik while in charge of Inter Milan, while Lavezzi has caught the eye of several clubs after impressing for Napoli over the last few seasons.
The duo impressed during Napoli's recent 1-1 draw with City in the Champions League and Mancini's right-hand man Salsano admits both players are on City's radar.
"They are two players who we like because our objective at City is to do great things and win," Salsano told Radio Crc
"Hamsik has become an important player with the right experience, while Lavezzi is devastating and can hurt people in one on one situations."