West Ham managed to wrestle a point from Sunday's derby against Chelsea, though they should've claimed all three points.
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Maurizio Sarri's side suffered an afternoon of frustration but could easily have lost, Andriy Yarmolenko nodding a great chance wide.
Chelsea denied a win for the first time this season in a draw at West Ham that exposed how far they remain behind the Premier League's top teams.
West Ham boss Manuel Pellegrini said Arnautovic is in a race to get fit for Sunday's home match.
Jack Wilshere is facing a short period out after undergoing minor surgery on an ankle injury, West Ham's head of medical has confirmed.
West Ham summer signing Lucas Perez has hit back at "false" reports he refused to warm-up and come on as a substitute against Everton.
Andriy Yarmolenko scored two first-half goals as West Ham United defeated Everton 3-1 to claim their first Premier League victory of the season.
West Ham United manager Manuel Pellegrini said he remains confident in his team after a fourth consecutive defeat to start the season.
Adama Traore struck in stoppage time for Wolves as they beat bottom team West Ham to pile the pressure on Manuel Pellegrini's side.
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