The Serbian player has been strongly linked with a move to Turin but Marotta, while recognising his talents, denied that there was any truth in the rumours.
"Kolarov is a player of absolute value," Marotta told Mediaset. "However, there is no negotiation taking place at the moment and we have no intention of starting one up.
"We are not interested in signing him."
Kolarov joined City from Lazio in 2010 and has made 67 Premier League appearances.