Shane Warne told Sky Sports News that Mickey Arthur is "out of order" for suing Cricket Australia following his dismissal as coach.
South African Arthur is hoping to receive £2.4million (4million Australian Dollars) after claiming he was relieved of his duties 16 days before the first Ashes Test at Trent Bridge because "he did not understand the Australian way".
But former Australia leg-spinner Shane Warne says the 45-year-old - who hit the headlines when he axed four players for a Test match in India earlier this year after they failed to complete a team assignment - should have remained silent after departing his post.
"I think Arthur should be very grateful for the opportunity [to coach Australia] to start with," said Warne, who took 708 wickets in 145 Tests for his country and will appear in the Sky Sports commentary box for the remaining four Ashes encounters of the summer.
"He did the best he could do and put his heart and soul into it so it sounds a bit of sour grapes to me. If that's your gripe go behind closed doors, but I think he should sit back and be quiet as four million dollars is out of order.
"It is very disappointing that he wants money and perhaps he should go back to homework gate and start writing some lines and send some papers to Cricket Australia."
Australia won just 10 of Arthur's 19 Tests in charge and were thrashed 4-0 during their tour of India, while they were also sent packing from the recent ICC Champions Trophy at the group stage.
And Warne feels the right call was made to remove the former South Africa coach and appoint Darren Lehmann - despite Australia's 15-run defeat in their Ashes opener at Trent Bridge.
"Cricket Australia were very proactive when it wasn't working and unfortunately when things aren't working and you are the coach you are the first to go," added Warne.
"It's you or the captain and Australia weren't going to get rid of Michael Clarke so Arthur had to go.
"I am one of Cricket Australia's harshest critics but you have to give them ticks for appointing Lehmann; it was a fantastic move as even though Australia lost [the first Test] they have shown better spirit."