One thing that I like in Liverpool is that they are always patient with their new coaches for him to adapt with the players and impact his football tactics on the players for better performance, that is what will make them still keep Arne Slot if he fails to manage the team the way Klopp have kept the standard.
It might be somehow difficult for Slot in the beginning but I believe that with time he will be able to achieve his purpose of coming to Liverpool as a coach. However, if the players don't see good results coming out from Slot strategy, they might start leaving the club and that might start the downfall of Liverpool just like when Benitez left Liverpool.
If you talk about Liverpool's patience with Klopp, then I think it's because they showed respect for him because of the titles they won in previous seasons, and Klopp in subsequent seasons ensured that the team was revived, and moved towards new victories. Klopp's strength was that he would get his players to give their all on the field, and I think it's impossible to play like that season after season, so it was logical that after a great season there would be a decline. I don’t know how patient Liverpool will be with new coaches who haven’t achieved anything yet.
The most important thing that Klopp did for Liverpool that is worthy of emulation is the fact that he kept the players playing with all their heart because they had a good relationship with each other on the pitch and in the dressing room, Klopp was to win trophies with his team Liverpool he also ensured that the team was able to challenge for the league trophy with other elite teams in the league even though he didn't end up winning trophies most seasons but making the team become a title contender is a sign of an improved team.
Liverpool has no option than to respect and give him time but now that he has left the team and another manager appointed, I hope the management will be patient enough because he can do the miracle overnight as some people will expect.