Realistically though, who do you think you could get in to replace him who could rebuild the team? The only name big enough to pacify your fans is Klopp and he is proving over in Germany that he cannot re-build a team.
Klopp is the crowd favourite yeah and to be honest, we're not really worried about his struggles in Dortmund because he will be given a lot to spend here at Arsenal. He wouldn't have to worry about his best players going straight to Bayern every year, I think he could do a good job here.
But to be fair, I would say most Arsenal fans are willing to give a new up and coming manager a chance, remember, Guardiola was nowhere when he took over at Barca. There are a lot of managers I personally wouldn't mind seeing where they take Arsenal. I would take any of these:
Klopp (reputation speaks for itself)
Joachim Low (if he's available after the Euros, again reputation speaks for itself)
Laudrup (Won a trophy with Swansea playing intricate football, played for Barca so would have instant respect in the dressing room at Arsenal)
Dennis Bergkamp (An Arsenal legend, would get instant respect and knows one-touch football inside out both at Ajax and Arsenal)
I would add Frank de Boer from Ajax and Garry Monk from Swansea as well, they both teach a very nice free-flowing style of football. Frank de Boer would get instant respect...but a little worried if Garry Monk might not get respect and rather get the Moyes treatment but he's a good manager imo.