The Chile winger has long been linked with a move away from Udinese.
Larini told calciomercato.com: “If Sanchez continues like this he can do well.
“He is a versatile player, with much room for improvement.
“Chelsea and Manchester United? They are two clubs that have followed him and want him but there are also others.”
Inter Milan are also keen on signing the 22-year-old South American winger.
“Inter have tried in January just as the other teams did,” Larini said.
“But the wish of the club is to have Sanchez in Udine until June.”
Larini added about Sanchez’s price: “We don’t set the figure, the market does.
“The value of the player is liable to vary.”