In terms of managers, I can think of a few from the lower divisions who have performed with some aplomb in the lower reaches but do not have experience, or limited experience at the top level besides I do not envisage them being allowed to leave their clubs :

Michael Carrick, Carlos Corberan, Michael Duff, Ian Evatt, Paul Heckingbottom, Vincent Kompany, Mark Robins, Steven Schumacher, Paul Warne.

Besides, more experienced managers might not be inclined to join with the possibility of a relegation on their CV and then having to ply their trade in the Championship.

If he doesn't sort out the attack then he might well bite the bullet although can a new manager fair any better with the players they will inherit up there ? Got to feel sorry for our defensive players as they are stopping us getting a serious tonking most games.

“ [T]here are known knowns; there are things we know that we know.There are known unknowns; that is to say there are things that, we now know we don't know.But there are also unknown unknowns – there are things we do not know we don't know. ”
—United States Secretary of Defense, Donald Rumsfeld

I think we have to stick with him as it’s asking a lot for someone who doesn’t know this squad to come in now and get results? Looking at our April fixtures we could (should) be saying what was all the fuss about?

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Stupid to lose him just stupid, the club needs to back him with players who actually have talent to help the ones we already have.

I am torn by the fact Vieira was not backed in either transfer windows & therefore the squad has always been weak & the fact he seems clueless on player selection & substitutions during the game. I do not think the Board will sack him, however at this moment in time fear relegation, not because of our defence or rejuvenated Midfield with Albert, but the fact we are lack lustre up front. Vieira needs to pick either Eduard or Mateta ( eduard would be my choice) & stick with them. It is quite clear Ayew or Zaha are not Centre forwards. He also needs to pick the players who have fight as let’s face it we are in big trouble now and you only need fighters in a relegation battle.
Therefore no room for Eze or Schlupp, only if we are losing with 20 minutes to go. Hughes & Richards need to be played more & the new chap from Stuttgart (terrible with names) looks good & needs to be played.
If we are still in the Prem next year we need to find another Manager.
IMO

Nope. He needs to be judged at the end of the season. The board have not backed him so changing the manager will make no difference. After the arse game we have a series of winnable games.