The Daily Mail says Portsmouth manager Avram Grant, set to leave after Saturday's FA Cup final, is on the West Ham shortlist. Grant has worked closely in the past with Steve Clarke, Zola's assistant, who has three years left on his contract and has been asked to stay on.
Grant and Clarke took Chelsea to the Champions League final in 2008 before the Israeli was replaced at Stamford Bridge by Luiz Felipe Scolari and the Scot joined Zola at Upton Park.
Former Croatia coach Slaven Bilic has told West Ham he is not interested in the job but Hoddle is a surprise name also under consideration. The former England boss has spent the last two years establishing a football academy in Spain and working in media.