I know we both have had this discussion multiple times but my main concern with sacking Ole is , who next? The only big free agent available right now is Allegri and do you think fans would like another defensive minded manager to take over this team. Also, I don't think this squad would suit him one bit. He would need proper midfielder and bar Pogba we have none. I think we have to be smart in appointing our next manager. I hate to say it but this season is a write off. We will win some but we will mostly look clueless. I hope Ole turns it around because he has good ideas but to implement those on pitch is something he has to learn.
To me out of the current young managers Nagelsmann is the real deal. I've followed him since he broke through and he has really some solid ideas that puts to practice and is a very shrewd tactician who also loves working with young and up and coming players(something that we can relate to being back to our roots).
The big problem is - I can't see him leaving mid season or even next season.
Given the recent shortcomings Poch is an option. Would he be better - probably yes, he can improve us and build on it in the long term. Not my favorite option, has many reservations about him, but I guess beggars can't be choosers..
Allegri will be a good fit at the moment for the players we currently have and can stabilize us to mount a top 4 challenge. Wouldn't be against that appointment as well.
Tuchel I think would be very shrewd appointment too, but can't see him leaving PSG so needs to be sacked.
Simeone is an option, but can't see him leaving Atletico and also fans won't be fond about him, which I can understand. Although he - much like Allegri will stabilize us and grind out results. The football of course won't be ok for everyone.
Ten Hag is also an option but I believe Edwin and Overmars had a big part in the recruitment process. So whilst him being a sound in terms of tactics he might struggle if we don't have a proper structure in place.
All in all everyone that I've listed above will improve us now and in the long term.