We shouldn't sack him, and I hate him. It would just cost us more money and be more upheaval.
However, he has demonstrated so far that he has zero idea tactically, compresses the centre of the pitch like a Sunday league manager, and has no discernable patterns of play - just swing the ball in the box. He really is awful.
Our plan should be to actually end this window with some good players, finish the season comfortably safe (something even this cretin should manage with a few more decent players) and then punt him into the sun next summer with absolutely no tears shed whatsoever.
Having said that, if he keeps doing worse than even Lampard with his win % we may be left with no choice.