The Frenchman has led the Gunners to a top-four spot and Champions League qualification for the past 20 seasons.
The Hammers, meanwhile, travel to the Emirates in woeful form with four defeats on the spin and no win in six. The Gunners are seven points behind Manchester City for fourth, but have a game in hand on the Sky Blues.
Alex Oxlade-Chamberlain (hamstring) and Aaron Ramsey (calf) could make their comebacks.
Arthur Masuaku is expected to start in place of Cresswell, who is expected back in training next week, which means he could be available for West Ham's match against Sunderland on 15 April.
In an exclusive in this morning's Sunsport, West Ham United are preparing a summer move for England midfielder Jack Wilshere.
Wilshere, 25, has spent the duration of the Premier League season on loan with the Cherries with a view to establishing continuity in an injury-riddled career.
"It [finishing in the top four] is a good challenge but I think it is perfectly possible", said Wenger.
Trump's ex-campaign adviser met with Russian spy in 2013
Page was quickly cut from the Trump team following reports that federal investigators were probing his ties to Russian officials. The documents were not sensitive, and Page was never accused of wrongdoing. "I also promised him a lot".
More dropped points would probably signal the end of Arsenal's top 4 hopes this season while West Ham - who are only 6 points away from the relegation zone - can not afford to drop more points either.
With the exception of last season, "Arsenal" with the "Hammers" no problems for a long time.
Andy Carroll, the English forward, remains a threat for Arsenal.
"Diafra is back. When you talk to him, he is ready, he can't wait". The two come as a pair and if Bilic is pushed out of West Ham this summer then it's nearly certain Jurcevic will be going with him.
West Ham have Andy Carroll and Diafra Sakho as their main attacking weapons now, but with both having questionable injury records, the Premier League side will want to add another option in the final third.
Arsenal have won just one of their last eight Premier League matches played in midweek (Tues-Thurs); drawing four and losing three.