Andy Carroll has scored five Premier League goals against Arsenal - against no side has he scored more in the competition (also 5 vs Swansea and Man City).
Arsenal have won just one of their last six Premier League games, and sit 6th in the table, a point ahead of 7th placed Everton.
West Ham are now in the midst of an injury crisis, with six players set to miss the encounter with the Gunners.
Bilic has admitted that Wilshere is "a great player at a great age" but suggests that the links with the Arsenal midfielder are now only rumours.
West Ham are in the midst of a terrible run of results that has seen them underperform to such an extent that the future of manager Slaven Bilic has been called into question.
Modeste made nine Premier League appearances for Blackburn back in 2011-12 but has gone on to become a feared attacker in Germany. So if Wenger is planning for his team to try to get the fluent, creative and scoring Arsenal back he may be thinking of making a few changes and the first of those for me would be in the middle.
"Cresswell is out, but it should only be for this week, we are talking about a couple games". When I told you I wasn't anxious before it is the situation that I am not relieved to say "oh my god, they gave me confidence".
Here are some of the best pictures from Arsenal's latest training session.
"Diafra is back and when you talk to him he says he is ready", Bilic said.
Historically, Arsenal have fared well against West Ham, losing just one of the last 17 league meetings between the two London clubs.
West Ham, who are now 14th in the league, have won four of their 15 away games this season. While their future at their respective clubs might be still uncertain, West Ham, however, have publicly backed Bilic and have assured 100% faith in him.
The futures of Wilshere, Kieran Gibbs and Alex Oxlade-Chamberlain are uncertain with their current deals due to expire at the end of next season.