A 10-2 aggregate defeat saw a section of supporters protest over Wenger's tenure, calling for him to walk away from the club he's been in charge of for the last 20 years.
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Arsene Wenger's Arsenal contract expires at the end of the season
But Arsenal's chairman, Sir Chips Keswick, insists the club won't be making any hasty decisions regarding Wenger's future.
Keswick said: “We are fully aware of the attention currently focused on the club and understand the debate.
"We respect that fans are entitled to their different individual opinions but we will always run this great football club with its best long-term interests at heart.
"Arsène has a contract until the end of the season. Any decisions will be made by us mutually and communicated at the right time in the right way.”
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Sir Chips Keswick insists Arsenal won't rush on their decision over Arsene Wenger's future
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However, in Wenger's press conference earlier today he indicated the fans' reactions will influence his decision on whether he signs a new deal at the end of the season.
He said: “I have worked very hard for 20 years to make our fans happy and when you lose the games, I understand they are not happy,” he said. “I do not want to judge that, I am not able to.
“I live in my daily work with my complete commitment. After that, I have said many times that you have to accept different opinions.
“And of course the fans’ reaction will impact my decision. You consider everything. It will not be the most important factor but of course, you consider it.”