If they don't improve their current performance,i don't think they'll able to face Liverpool, City, or Arsenal maybe they could play draw against Manchester United but one thing im sure is that they would not finish in the top 4 it would take a miracle fot Pouchettino to make it to the top 4, they could manage to finish top 10 but that's if they would improve their current EPL performance.
They definitely won’t be able to face and win those clubs you noted if they continue with their current performance.about finishing in the top four, I don’t see it being possible as well.
Their next game with Fulham in my opinion, wouldn’t be so tough and I think they would go ahead and win the game. I predicted they could win the game against Brighton and they were quite lucky to have some good shots on target that got them a goal and ultimately the win.