Southampton will not accept offers for forward Jay Rodriguez or midfielder Morgan Schneiderlin this summer.
Everton forward Kevin Mirallas has hinted that he will sign a new contract at Goodison Park in the summer.
Quagliarella, 30, signed for the Turin giants in 2010 from Napoli and has assured fans that he wants to stay at the Juventus Stadium.
The Italian has played a key role in his team's assault on the Champions League this year, scoring three goals on their way to the knockout stages of the competition.
"Fabio toiled so much to wear the very prestigious Juventus shirt and I see no reason why he should leave this team," Quagliarella's agent told Tuttosport.
"He never asked and he'll never ask to be transferred. If Juventus, at the end of year, prefer to sell him, Fabio could only accept to go to another big club. And there will be many requests."