David Moyes’s side lost 2-1 to Eintracht Frankfurt in the first leg of their Europa League semi-final in midweek, while the Gunners saw off Manchester United 3-1 last time out.
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The Hammers suffered a 3-1 defeat to Tottenham Hotspur in their last league game before the international break, while Everton lost 4-0 to Crystal Palace in the FA Cup last time out.
While the Hammers are currently in sixth position in the standings, they only hold a nine-point lead over their next opponents, Villa having played one game fewer and winning three matches in a row.
The visitors are currently eighth in the Premier League table, two points behind sixth-placed West Ham, who have played one game more than their opponents this weekend.
The away side, who are now out of the relegation zone, will enter the contest off the back of a 1-0 win over Aston Villa.
Meanwhile, the Saints are without success in their last six top-flight fixtures, leaving the visitors down in 15th position ahead of the trip to the London Stadium.
The Blues will enter the contest off the back of a 2-1 victory at Watford on Wednesday, while West Ham were held to a 1-1 draw by Brighton & Hove Albion on the same night.
David Moyes’s side marched to a 4-1 success over Aston Villa in their most recent league battle, while the Reds could only draw 2-2 with Brighton & Hove Albion.
Despite indifferent starts, the teams sit in seventh and fifth place respectively, one victory away from potentially moving into the top four.
David Moyes’s men enter the contest on the back of a 2-0 Europa League win over Rapid Vienna, while the Bees held Liverpool to a memorable 3-3 draw on home soil.
The Red Devils suffered a 2-1 loss to Young Boys in their opening group-stage fixture on Tuesday, but West Ham started their Europa League challenge with an impressive 2-0 success away to Dinamo Zagreb.
The Hammers are currently top of the table with six points from their first two matches, while Palace are down in 14th, having collected one point from their opening two fixtures of the campaign.
Everton’s own top-four aspirations appeared to come to a crashing end after the home defeat to Aston Villa last weekend, but Carlo Ancelotti will still be aiming to compete in Europe next season.
The Blues reclaimed their place in the top four of the table with a goalless stalemate against Brighton & Hove Albion on Tuesday, while West Ham are now in fifth but only behind their upcoming opponents on goal difference.
The away team has been victorious in four of the last eight top-flight meetings between the Hammers and the Foxes, although the visiting side has not won both league encounters in the same season since the 1929-30 campaign.
The hosts currently sit fifth in the table, where Arsenal would have expected to be – while Mikel Arteta’s men sit in mid-table obscurity, where West Ham were overwhelmingly predicted to finish.
Spurs have lost four of their last five Premier League matches – as many as in their previous 28 – and enter this game six points behind West Ham with a game in hand to play.
The in-form Hammers sit fifth following a fine run of form, while champions Liverpool go into the match in fourth place following their much-needed 3-1 victory at Tottenham Hotspur on Thursday night.
The Hammers will enter the match off the back of four straight wins, while Doncaster have been victorious in their last three, including a 1-0 success at Blackburn Rovers in the third round of the FA Cup.
While the Hammers currently occupy 10th position, the Clarets have remained in 16th spot after losing two of their last three fixtures.