Dalglish, 61, was sacked on Wednesday after he guided the Merseysiders to an eighth-place finish in the Premier League.
Former Chelsea boss André Villas-Boas and Wigan manager Roberto Martinez have been installed as the early favourites to succeed the Scot at Anfield – and Dalglish is confident that the next man at the helm is sure to have the backing of the “fantastic” Liverpool fans.
“Hopefully they will support that person as well as they have supported myself, which has been fantastic,” Dalglish told the Liverpool Echo. “The support the fans gave us was a huge influence in winning the Carling Cup.
“To be perfectly honest, in most of the games this season the players have covered themselves with great credit. They have been a credit to themselves and to the football club.
“The fans will always, always stick with Liverpool and support the players and the team and the person that is to be the next manager of the club. That’s the way these fans have been brought up and that’s the way it should continue.
“For me, it’s obviously going to be different, not being involved in the way I have been as before.
“But that doesn’t mean I don’t want Liverpool to go on now and be really successful. And that’s the same for anyone who now comes in to the club.
“What Liverpool deserves and the supporters deserve is far more important than me.”
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