Isla is in co-ownership with Udinese.
"There is the possibility that I could leave Juventus and Inter have made an offer for me," the 24-year-old told 24 Horas. "There are talks taking place.
"I just want to play football, that would be ideal for me because I want to be useful and be in the best shape possible for my national team.
"But Inter would be perfect because they are a top club that wants to return to what they were in the past."