The 66-year-old brands the former striker's recent comments "diabolical" but also admits that he himself has a tendency to "lose the plot" due to his fiery nature
The 66-year-old was controversially appointed to the role earlier in June and gave a number of brash interviews which caused some observers to question his suitablity for the role.
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"What Shearer says is diabolical," Kinnear told the Sunday Times. "This is a guy who hasn't got a clue about coaching. Good in five-a-sides, though, so they tell me.
"The last game of the [08-09] season, he came up with the master idea of playing Damien Duff at left-back. Damien is one of the best left wingers in the business but can't tackle and we went down with an own goal from Damien.
"Shearer keeps slagging me off. He is being disrespectful to me but I am entitled to fight back."
The Premier League's all time leading goalscorer also suggested that current Newcastle boss Alan Pardew was in an "intolerable position" that "no manager would find comfortable" but Kinnear attempted to allay those fears after holding a meeting with Pardew in London.
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"I said: 'You are on an eight-year contract and my role is to support you and give you the best help possible. I have been informed that you found it difficult last season to speak to Mike or get messages to Mike about various things'. I made it clear that I am not after his job."
Kinnear had claimed during one of his controversial interviews that certain Newcastle fans were "talking out of their backsides" but he has now apologised.
"It is my own fault and I regret what I said about the supporters," he continued. "I have a fiery nature and I sometimes lose the plot. There are 10 per cent I'm never going to win over, that is the point I was trying to make, but I regret what I said and if I offended any Newcastle fans I apologise."