The left winger is the subject of interest from two of Serie A's biggest clubs and looks set for pastures new this summer
The left winger has become a key player for Udinese following his 2011 move from River Plate and champions Juve are reported to have agreed a deal that would see Frederik Sorensen move in the other direction.
However, Giaretta has denied the Turin giants are on the verge of signing the 23-year-old and stated that they face a battle for his signature.
Giaretta told Fcinternews: "Is it all done with Juve? No, there is no deal yet and I don't want to go one way or the other right now.
"He is a very interesting player, so we're not surprised clubs are eyeing him up. As nothing is confirmed yet, the issue is still wide open.
"Are Juve and Inter the challengers? Yes, there is interest and the situation is open. We haven't closed the door on anybody yet."