Unless Emery can put together a string run of results immediately (which does not look likely on current evidence), it's not looking good for the Arsenal manager. With that being said, Leicester are a really good team and they are not in second place right now by accident. Also, despite everyone claiming Arsenal are in crisis, they are still 6th and ahead of Spurs and Man United in the table. The season is far from lost,e ven if the mood around the squad and the fans seems grim.
Some of the Arsenal fans seem to be weirdly entitled, and their behaviour in the late Arsene Wenger days - and, indeed, more recently, with Granit Xhaka, left a lot to be desired.
Having said that, Umai Emery does not seem to have been able to impose his authority on the team, and nor does he seem to have begun to address (yes, it will take several transfer windows) the very visible problems in that defence.
I don't think that Arsenal are in crisis, - their mid field is okay and their forwards excellent - but I do think that they are unable to implement whatever vision Emery has in mind of the team, - they lack the will or the skills - and I am astounded that little attempt has been made to begin to address those perennial and glaring defensive frailties.
He bought an excellent goalkeeper, who has been asked to do far too much in his position as the defence consistently fails to protect him, (but who - notwithstanding that - probably should be selected as captain).
Choosing a team captain by team vote, suggests a curious lack of authority (and perhaps, respect) in the dressing room - certainly, I have never heard of a captain chosen by such a method, but Emery was perfectly right to strip Xhaka of the captaincy for his conduct (stripping off his shirt, and the captain's arm-band, and swearing at the fans) as he left the pitch a fortnight ago.
Leicester are an excellent side, and were clearly up for the match, and obviously deserved their victory.
The only positive thing that I could see was the return of both Holding and Bellerin to the Arsenal side, and, although neither are particularly match fit just now, that will come in time.