West Ham co-owners keen on Portsmouth boss Grant
The Mirror says Zola, 43, is certain to leave his £1.8million-a-year contract at Upton Park as he is unhappy with the club's new board.
And Hammers' joint-chairman David Sullivan has refused to guarantee the future of Zola after the Italian secured the club's top-flight status.
Grant took charge at Fratton Park last November but could not stop relegation after Pompey were hit with a points deduction for going into administration.
But the Israeli has restored his reputation and is joined by Martin Jol, Steve McClaren and Slaven Bilic on West Ham's short-list.