The 24-year-old shocked the Potters by requesting a move away from the Britannia Stadium this week, just days after Tony Pulis left his role as manager.
N’Zonzi, who cost £3 million from Blackburn Rovers in the summer of 2012, was a key figure in the middle of the park last term, making 38 appearances and scoring in the penultimate game at Tottenham.
Speaking to the Telegraph, Stoke chairman Peter Coates has stated: “We are not unduly worried about the situation as he is our player and has three years remaining on his contract.”
The Frenchman though seems to have set his sights on a move during the transfer window and the new manager, whoever that may be, will have the task of trying to persuade him that he should stay put.
Hammers boss Sam Allardyce signed N’Zonzi during his time in charge at Ewood Park and is thought to be keen to add the Stoke young player of the year to his current Upton Park squad, especially with speculation suggesting Mohamed Diame may leave West Ham this summer.