But the West Ham manager said: 'I can confirm he has left. By mutual consent.
'At the moment that's all I'm prepared to say on the matter because I don't think I need to go any farther publicly. That's done between me and Wally.
'He's sorting out his terms and agreements with the club. That isn't sorted yet. It was amicable between the pair of us and we move on.'
Asked if he was the one who took the decision Allardyce said: 'I did, yes.'