Arsenal had a quiet opening half but Ozil came to the rescue after half-time to give his side the lead in the 58 minute, before assisting Theo Walcott for the second goal of the game.
Nonetheless, they'll be confident of getting back to winning ways against a free-falling West Ham, who sustained a fourth successive loss on Saturday by going down 2-1 at Hull.
Theo Walcott's midweek strike pushed Arsenal to a milestone figure, as they became the first Premier League team to reach a century of goals in 2016/17.
"Everyone just needs to remember how good we are as a team, as individuals".
It read: "To end speculation once and for all, the West Ham United board feel it necessary to announce that we have 100 per cent faith in Slaven Bilic's ability to lead West Ham United".
The Gunners swept aside West Ham 3-0 at the Emirates to win their first Premier League match since February 11 to close the gap on Manchester City and Liverpool.
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"Somebody just reminded me that we have scored more than 100 goals already this season", said Wenger, "so going forward we have always been good, but defensively in recent weeks we were not efficient enough".
"We did that against West Ham, we did a very professional performance, it was a more improved performance than the draw with City, there was a lot of passion in that game, in this one we were very professional and that is very pleasing. We don't have to hide it", the Croat told the BBC. I didn't smell this, I didn't think we would lose five games. Ozil fired the ball through a sea of West Ham defenders and his effort bounce awkwardly in front of, and past, Darren Randolph.
"Goals consistently engender self-confidence in players, but Mesut is an excellent player", said Walcott. "One win will change everything for us, because three points at this stage of the season are massive".
"We have Swansea and Sunderland in the next two and we need points in both of those games to ease the pressure".
Bilic continued to stress how essential three points is at the London Stadium this coming weekend, as the Hammers are now also on a seven-match winless run.
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