Can is in the final year of his Liverpool deal and will be free to discuss terms with non-English clubs in the January transfer window.
Juventus have previously confirmed their interest in Germany international Can, with chief executive Giuseppe Marotta still keen to get a deal done for the 23-year-old.
"Emre Can is a name doing the rounds because his contract is running down," Marotta told Mediaset Premium.
"I won't deny he is a player we too have monitored and many important clubs will try to close a deal over the next few weeks.
"We are tracking the situation, nothing more."
Can has started 11 Premier League games this season for Liverpool but he missed Sunday's 4-0 win at Bournemouth due to suspension.
"Claudio is very attached to the Juventus jersey," the chief executive added.
"He grew up in our academy and has asked us for nothing. I don't think he'd move abroad."