Jurgen Klopp sarcastically described Dietmar Hamann as "a fantastic source" after the former Liverpool player suggested the club's poor form may lead to a change of manager.
Liverpool head into Wednesday's Champions League group game at Rangers with just four wins to their name from 11 matches this season in all competitions.
Sunday's 3-2 loss to Arsenal leaves Liverpool with 10 Premier League points this term, with that their lowest tally after eight games since the 2012-13 campaign (nine points).
And speaking on Tuesday, Hamann said Liverpool chiefs may soon have to discuss Klopp's future at Anfield after seven years in the job for his German compatriot.
Klopp did not take kindly when asked for a response to Hamann's comments during his pre-match press conference ahead of the Rangers match.
"Who said that? Didi Hamann? Oh great. A fantastic source, well respected everywhere," Klopp said.
"[Being a former Liverpool player] does not give you the right to say what you want, especially when you have no idea.
"I actually think Didi Hamann does not deserve that you use his phrase to ask a question. Do me a favour and ask your own question."
Liverpool have won back-to-back matches in the Champions League, including a 2-0 win over Rangers last week, since going down 4-1 to Napoli in their Group A opener.
That loss to Napoli came in their most recent away match in the competition, though not since September 2019 have they lost successive games on their travels on the continent.
Klopp's mood was not improved after it was confirmed that Luis Diaz will miss the next two months, while Trent Alexander-Arnold and Joel Matip are out for a fortnight.
But the Liverpool manager, whose second-place side sit three points behind Napoli and three ahead of Ajax, insists he is up for the challenge of turning things around.
"If you sleep on a problem, sometimes you realise life goes on. I just stood there at Arsenal and we had lost the game. I knew already that we had three big injuries," he said.
"This is a tough situation but it also a challenge. We always face challenges but we go for it.
"I am sorry to all our people that after last season we go again and it's not the case that we are competing for everything.
"I cannot promise that we will fly [against Rangers] but we will fight, definitely, until someone tells us the fight is over.
"It hasn't got easier since Sunday because of the injuries but the team I saw in training I liked a lot. So let's give it a go."
Quansah signs new long-term Liverpool deal
Jarell Quansah has signed a long-term contract at Liverpool.
The defender has been at the club since the age of five and enjoyed an impressive breakout season under Jurgen Klopp last season.
He made 33 appearances in all competitions under the German and netted his first goal for the club in the Europa League in December against Union Saint-Gilloise.
Among Liverpool players in the Premier League last campaign, he made the joint-third most blocks (eight) and won 22 of his 25 tackles in the competition.
So far under Arne Slot, he has made just two appearances, playing the first half of their top-flight opener against Ipswich Town and the EFL Cup match against West Ham.
"I couldn't be happier at this minute," the 21-year-old told Liverpool's website.
"I think the way the new manager has come in; his coaching style has definitely been a massive part of that and I think it is the best club in the world for me to develop at and become a better player.
"I think the players around me, who I'm looking to work hard off and listen to, I think they're the best in the position at the minute. So, like I said, there is probably no better place I could be."
Liverpool are also reportedly in talks with Ibrahima Konate over a new contract, while the futures of Virgil van Dijk, Mohamed Salah and Trent Alexander-Arnold, who are all in the final year of their contracts, are still yet to be sorted.
Injury forces Militao out of Brazil's World Cup qualifiers
Eder Militao will miss Brazil's upcoming World Cup qualifiers against Chile and Peru due to a thigh injury.
The defender, who also missed September's fixtures due to a leg injury, first felt some discomfort against Atletico Madrid on September 29.
Though he has featured for Real Madrid since, he flew out to Sao Paulo to undergo checks on the issue, where the national team confirmed the extent of the injury.
"[Militao] underwent tests this Sunday... which revealed a minor muscle injury in his left thigh that will prevent him from playing," the CBF said in a statement.
He is the second Madrid player to pull out of the Brazil squad, with Vinicius Junior also unfit to play after suffering a neck injury.
Brazil sit fifth in South America's qualification table after eight matches, with 10 points.
Slot's trust is reason for Liverpool form, says Gravenberch
Ryan Gravenberch has impressed with his performances for Liverpool so far this season, and he says it is a result of the trust shown to him by Arne Slot.
The midfielder joined Liverpool from Bayern Munich last September and made 26 Premier League appearances under Jurgen Klopp, but only started 12 of those games.
Gravenberch has played in all but one of the Reds' games in all competitions so far this season, only missing their EFL Cup win over West Ham, and has become an integral part of Slot's set-up in the deeper-lying midfield role.
The Dutchman has won possession 42 times, more than anyone in the team, and has also won the most duels (41) and made the second-most interceptions (12), only behind Virgil van Dijk (17).
Liverpool sit top of the Premier League going into the international break, with Slot making the best start of any Liverpool manager in the club's history, and Gravenberch credited the manager for his uptick in form.
"The coach gives me confidence and sets me up," Gravenberch told ESPN. "I just do my own thing. The things I did at Ajax, I do now.
"I discuss all kinds of things with him. It's mainly about football. We talked last season as well. I have a good bond with him, and I'm very happy he's here.
"We think in the same way. He likes football and building up from the back. That suits me super well too.
"I'm at a top club now, at Liverpool. I played a lot more last season than in the season before. That was my goal. This season my goal is to play even more than last season and I'm on my way."
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