The Gunners will host the Hammers in the Carabao Cup last eight as Arsene Wenger looks to win the competition for the first time since taking over the reins in 1996.
Arsenal played out a goalless draw with the east London side at the Olympic Stadium earlier this month to lose further ground in the Premier League title race.
The Gunners have only managed to win three of their last five games in the Premier League in what has been a difficult match-up for Arsenal in recent seasons.
The FA Cup holders haven’t won the Premier League title since 2004 and Arsenal are 19 points adrift of current leaders Manchester City.
The League Cup represents a realistic shot at silverware for Wenger and his Gunners squad this term.
West Ham have enjoyed a recent upturn in results under new manager David Moyes following two victories and one stalemate.
Former Arsenal star Nicholas is backing the Gunners to edge to a narrow win against the Hammers in the League Cup quarter-finals.
“Arsenal will play some of the kids again but I can see them wearing the visitors down, with the quality of Olivier Giroud and Theo Walcott being enough to get the job done,” Nicholas told Sky Sports.
Arsenal signed Alexandre Lacazette and Sead Kolasinac in the summer transfer window.
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