I would imagine their difficulty is, as the backroom team is just another area of a vast lack of investment, if you get rid of him you have to can Clemence and Agnew at the same time. That leaves just Jones to prep the team for a big game on Sunday, which isn't feasible.
It's a tough call - I actually think they might as well just stick with the fat idiot until they get a succession plan lined up. Either that, or keep both idiot coaches temporarily and put Jones in charge. I imagine they'll get the lay of the land today before making the call. Find out from the players the value - or lack thereof - of him staying. Would his dismissal improve the mood?