The goalkeeper has been linked with a big move away.
"If you ask Mattia, he'll reply without hesitation that he wants to stay at Genoa," Matteo Roggi told pianetagenoa1893.
"He's tied to the club and feels a bond with the shirt and with the fans.
"The decision, is, ultimately, up to President Preziosi. Anything can happen in football.
"But if you ask Mattia, he wants to stay at the club."