The Peruvian winger is expected to move on in the summer and has been heavily linked with the Anfield side in particular.
"He could leave Fiorentina, that is a possibility, but at the moment it is just rumours and there's nothing official," Jorge Cyterszpiler told TMW.
"He did not have a great season and is therefore eager to make up for it next year.
"Does he have a preference between the Premier League and Liga? Vargas would appreciate either League, though Serie A also has its merits. In the past we talked it over with Inter and the Nerazzurri were interested."