The only thing that ten hag should fight for is just for him to get a win against Southampton. If Manchester United can’t get a win against Southampton, then the pressure that will be on Manchester United management to sack ten hag is going to increase, and I don’t even know the coach that Manchester United can use to replace ten hag.
That's true but he shouldn't only targets on there match against Southampton because even if he ended up wining the match and they continue losing other ones he will certainly still going to be on the edge, so if there is any good strategy left in him he should try as much as possible to get some wining for the club on there coming matches if not I don't think the management will still pardon him, though I doubt if he would improve, however I think you are right that Manchester United is even afraid of getting new coach because they don't no the one that will be better for them and perhaps they could even mistakenly hire a coach that would be even worster than there current one, well I believe that if they search very well they will certainly get a better one.