It was announced on Friday that the 68-year-old, who has won three Premier League titles and seven FA Cups during his spell in north London, will step down at the end of the season.
Wenger is the longest-serving manager in the Premier League, having taken charge of 823 games.
And Arsenal's famous supporters have shared their reactions to his departure.
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Piers Morgan, who had been a vocal critic of Wenger, tweeted: "Breaking: Wenger out."
Journalist and TV presenter Robert Peston wrote: "Such mixed feelings about Wenger resignation. I wanted him to go, but I miss him already. He was magnificent for us over many years, but it was time #Arsenal."
Comedian Jack Whitehall tweeted: "Wexit is actually happening! What the hell!? #Wenger"
Alongside a crying emoji, actor Asa Butterfield tweeted: "Merci Arsene."
Sol Campbell, who played under Wenger at Arsenal, said simply: "Wow!"
Radio 1 DJ Greg James saw the funny side, and alongside a photoshopped version of Wenger's big coat, wrote: "BUT WHO GETS THE COAT?! I WANT THE COAT. SHOTGUN THE COAT."