Former Liverpool captain Jamie Carragher said the club's owners must get the next appointment right, and suggested Brendan Rodgers should have gone sooner.
Reflecting on a dismal end to last season, Carragher said: "They finished poorly - you think of the (FA Cup) semi-final against Aston Villa, games against Hull, Palace and that finish at Stoke (where Liverpool lost 6-1 on the final day), so he's lucky to keep his job.
"But to then keep him in charge, give him that money and then change the manager after seven games, he will know himself he had to make a big start and he hasn't so that's where the pressure comes from."
Addressing the challenge facing owners Fenway Sports Group, Carragher was critical of their performance at the helm of the club.
He said on Sky Sports: "They've made a lot of decisions since they've come that haven't worked. At the moment the owners' track record in making changes for Liverpool Football Club over the last two or three years has not been good enough. It's miles off.
"I'd have preferred them to do it (sack Rodgers) in the summer. He's been there three and a bit years, they haven't won a trophy and they've played Champions League football once, that's not good enough for Liverpool.
"Liverpool have won one Carling Cup in 10 years.
"Liverpool are becoming Tottenham: they think they're a big club but the real big clubs are not too worried about them, who they buy and what they're going to do. That's the situation it's become for Liverpool, even when I was there towards the end. I'm not just blaming Brendan Rodgers and this set of players.
"What are these owners of the club going to do to get Liverpool back to where they need to be, which is consistently in CL and challenging for trophies?"
