The hangover from a disappointing season last term has seen speculation intensify over Bilic's future with the likes of Carlo Ancelotti, Thomas Tuchel, Rafa Benitez and Roberto Mancini linked.
Bilic has been slowly losing the backing of the West Ham faithful, although a large section of fans still point the finger of blame at the board for a lack of ambition in the transfer market since the big move to the Olympic Stadium.
But supporters seem to be in agreement on one thing, none of them want the latest manager to be linked with the London Stadium hot seat, Wales boss Chris Coleman.
Chris Coleman with Gareth Bale
The former Fulham manager's contract with Wales expires whenever their World Cup 2018 campaign ends.
And that could be as early as this weekend should results not go their way in their final two qualifiers against Georgia and the Republic of Ireland.
But Hammers fans aren't happy with the prospect of swapping Bilic for Coleman, with one describing it as 'Like losing a fiver and finding a quid' on Twitter.
West Ham are keeping tabs on Wales boss Chris Coleman, whose contract expires next summer.— West Ham News (@WHUFC_News) October 1, 2017
[Daily Star] pic.twitter.com/vpIvvigie5
Please no.— Lucy (@iberianHam324) October 1, 2017
Someone please tell me this is a spoof?— Nigel Wright (@NWOK) October 2, 2017
Tell him to stay where he is he’s not wanted— Chris (@hammer861348) October 1, 2017
NO thanks @davidgold there's no more possible heart break left for west ham, we've had everything... Thank you ...— JH (@E6Jack) October 1, 2017
Not a chance not strong enough— gerryjudge (@gerryjudge88) October 1, 2017
"Contract expires" there's your answer— funkycoolers (@funkycoolers) October 1, 2017
No he is a terrible league manager I'd be better with no badges lol— Adam Wills (@adamtimothywill) October 1, 2017
Maybe we could get John Gregory in as well? Or maybe Ron Atkinson?— Andrew (@Irons858585) October 1, 2017
Surely we should be taking the next step, not a backward step— Scott Prentice (@scottcprentice) October 1, 2017
No thanks, would rather have Allardyce back— Glenn Bradley (@happyhammer888) October 1, 2017
i don't think we will ever get a top manger when you have a board who will never give him top money to spend— keith67 (@FennKeith) October 1, 2017
If this is true it just proves once again a total lack of real ambition from the board !— Paul Grenville (@paul_grenville) October 1, 2017
hope this is just paper rubbish @davidgold - have you not learnt your lesson on hiring managers who's reputation is built on national sides— Paulo (@PauloDisco) October 1, 2017
Why??? Will he bring Gareth Bale with him?— Bubbles the bear (@bubbles_bear1) October 1, 2017
West Ham being linked to Chris Coleman is a bit like losing a fiver and finding a quid! If he is Slavs replacement I will eat my fingers— Dave Walker (SD&CC) (@davewalkersdcc) October 1, 2017