A disappointing performance in defeat at Watford in Moyes’s debut has many fans concerned that dropping down to the Championship is a realistic worry.
Leicester, meanwhile, have shown improvements under Claude Puel since he replaced Craig Shakespeare, though they suffered defeat last time out to Premier League leaders Manchester City.
But who will come out on top when the two sides clash on Friday?
TV CHANNEL & LIVE STREAM
In the UK, the match will be available to watch live on television on Sky Sports Main Event and Sky Sports Premier League, and by stream via Sky Go or NOW TV.
In the US, the match will be available to watch live on television on NBC Sports Live and by stream via NBCSports.com.
SQUADS & TEAM NEWS
Moyes has been handed a boost with the news Marko Arnautovic did not suffer a broken thumb against Watford while Andre Ayew and Michail Antonio should return to the squad having missed out at Vicarage Road.
Javier Hernandez, Sam Byram and Jose Fonte remain on the sidelines with injuries while James Collins has suffered a setback with his return from a hamstring problem.
Potential West Ham starting XI: Hart; Zabaleta, Reid, Ogbonna, Cresswell; Kouyate, Obiang; Antonio, Lanzini, Arnautovic; Carroll.
Robert Huth and Matty James remain the only injury absentees for Puel as they look to recover from defeat to City.
Shinji Okazaki could earn a recall to partner Jamie Vardy while Ben Chilwell is also in contention to start for the second time under Puel.
Potential Leicester starting XI: Schmeichel; Simpson, Morgan, Maguire, Fuchs; Ndidi, Iborra; Mahrez, Okazaki, Gray; Vardy.
BETTING & MATCH ODDS
Leicester have been made 8/5 favourites for the tie, with Dabblebet placing Moyes’s side at 9/5 and the draw at 23/10.
Click here to view dabblebet’s full selection of available match markets.
GAME PREVIEW
West Ham kick-off on Friday sat in the Premier League’s relegation zone and facing up to a long, hard battle against the drop.
The arrivals of Joe Hart, Javier Hernandez and Pablo Zabaleta over the summer promised improved performances, but Slaven Bilic paid for failing to get the best out of an ageing squad.
David Moyes has now been tasked with the role of lifting them up the table, but having gone down with Sunderland last term, fans are not confident he is the right man to turn their fortunes around.
Leicester, meanwhile, struggled for consistency in the early weeks of the season, with spirited showings in defeat to the top six clubs interchanged with abject showings against the sides around them in the table.
But having picked up four points against Everton and Stoke City before defeat to Manchester City last time out, Claude Puel seems to have the team moving in the right direction.
