Whelan described the Merseyside club as "a desolate place" and claimed that he had received no official approach from the Reds hierarchy.
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"The club have great supporters, but the place is a morgue, a desolate place, without heart; all I can say is what a shame for their supporters," Whelan told ESPN.
"As for a new manager, I am sure they might want my manager, but he's been the favourite for the West Brom job, then favourite for the Aston Villa job, now he's favourite for the Liverpool job.
"I don't know who they will appoint, they have to sort themselves out, all I can tell you is that I haven't had an approach for Roberto.
"I hope Roberto is with me for the start of the new season, but in football you can never tell. I do know that he is an honest man, and if he is approached by anyone he will tell me about it.
"If Roberto thought he could go to another club because that club was so big and the challenge so great he couldn't resist it, then I would step aside and let him, but I wouldn't think he should go to Liverpool, he would be better off with us."
Whelan was heavily critical of the decision to dispense with Dalglish and stated that figures like the 61-year-old should be put in charge of running the club.
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"The club needs a management structure, it needs a boardroom filled with the people running the club," Whelan continued.
"When we went there, there was Alan Hansen welcoming people, it was a bit embarrassing to be honest, although he was doing his best.
"They shouldn't be sacking Kenny Dalglish, they should be making him chairman, let him run the place."
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