However, Ozil grabbed the headlines on Wednesday night after a sparkling display with the opening goal - his first in almost four months - in the 3-0 defeat of West Ham.
"As for myself, I think I've done okay since I came in, but we've still lost both games". We wanted to get a clean sheet against West Ham, as simple as that.
And Arsenal captain Per Mertesacker has revealed Wenger's men are prepared to sacrifice their passing game when going forward if it means players such as Ozil and Alexis Sanchez can be put in to goalscoring positions.
West Ham's 3-0 loss at Arsenal on Wednesday marked their fifth consecutive defeat as they dropped to 15th in the table, five points above the relegation zone.
Wenger's pre-match mood was not improved by injury robbing him of goalkeepers Petr Cech and David Ospina, which handed a rare Premier League start to Emiliano Martinez. We are looking over our shoulders, of course, and there is no point in hiding it.
Welbeck then lashed wide from a tight angle before a lull in the game which lasted nearly until half-time, when the hosts finally started to up the tempo. And we were also good on counter-attacks.
"We had to work for it, it has obviously been a challenging few weeks to be honest", he said.
But Ozil was considerably more effective on Wednesday following a decent display against Manchester City on Sunday, assisting Arsenal's second goal. "I am not talking about blame - there is no point talking about that", Bilic told a news conference.
"We know deep down that we have to forget about that as quickly as we can and get a win on Saturday". They had entered the game with the same number of points as they had at the corresponding stage of last season.
Hull came from behind to claim an 85th-minute victor, after Andy Carroll's opener at the weekend, and underfire Arsenal found their shooting boots in the second half on Wednesday.
The Hammers chief continued: "In the second half, they raised the tempo and scored a goal and they were the better team from then on".
But he has called for the players, staff and fans to come together for a match that looks crucial to keeping them in the Premier League.
Tonight's win was the first triumph in a league match for almost two months, since Arsenal beat Hull City 2-1 on February 11.