Can's contract at Anfield expires in the summer and he is therefore eligible to sign a pre-contract deal with an overseas club.
READ MORE: Klopp discusses Emre Can contract situation
Marotta told Italian broadcaster Premium Sport: "The interest is clear. We want to try and bring him to us, but we cannot do it because he currently has a contract with Liverpool.
"He could renew it and, moreover, there are other teams interested in him."
The Serie A side have been linked with Can since the summer, but have so far failed to convince the 24-year-old to agree to a contract.
Marotta added: "We want to try and bring him to Turin. I am stating this with full awareness that he might not arrive, but we need to have important objectives."
Can has grown in importance to Jurgen Klopp's side this season, with his form calling on the club to look for a quick resolution before the summer - when he is able to leave for free.
— LFCGlobe.co.uk (@LFCGlobe) January 16, 2018