Slaven Bilic has been a man under pressure all season and it has reached fever pitch since the Hammers' woeful 3-0 defeat at home to Brighton last time out.
The likes of Rafa Benitez, Manuel Pellegrini and Carlo Ancelotti have been linked as potential replacements.
Meanwhile West Ham legend Paolo Di Canio has also been thrown into the mix having professed back in the summer that it is his 'destiny' to manage the East Londoners one day, as reported by Sky Sports.
That has excited some fans who believe Di Canio's passion, style and hardline approach is just what the club needs.
But those fans should not get their hopes up if comments from Hammers co-owner David Sullivan back in 2013 are anything to go by.
Di Canio had been linked with West Ham but was appointed Sunderland boss and Sullivan responded by publicly insisting he would not consider him as a future manager of the club because of his alleged controversial political beliefs, as reported by the Evening Standard at the time.
“Fascism is always intolerable but managers, like owners, have an additional duty to the wider community,” Sullivan said in the ES.
“That is why, despite having once considered him a future manager of West Ham, my partner David Gold and I wouldn’t do so now — unless he renounced his extreme views.
“Paolo di Canio is in the top rank of West Ham legends. He has been a tremendous supporter of the club for years and, whenever I’ve met him, struck me as charming, intelligent and what you might call Italian in the extreme.
"For all these reasons, I find it very hard to criticise him — but harder still to swallow the events of this week. Put simply, Paolo should not be managing a club until he has convincingly renounced fascism.”
Di Canio did issue a statement claiming he does not support ideology of fascism but Sullivan said the statement was 'too broad'.
The one-time Italy striker famously banned tomato ketchup and sugar during a rollercoaster tenure with the Black Cats.
Not all West Ham fans would welcome him as manager, though, with many feeling the club need a proven top quality boss to take them on to the next level.