Tim Paine's leadership was "never in question" for Australia's Test selectors.
India completed a stunning win over Australia, chasing down 328 at the Gabba, where Rishabh Pant was the star.
With the fourth Test heading for a draw amid wet weather at the Gabba, India look set to retain the Border-Gavaskar trophy.
Only 54.2 overs were bowled as rain marred the second day of the fourth Test between Australia and India.
After surviving in Sydney, a patched-up India team has the chance to make history against Australia at the Gabba.
Australia opener Will Pucovski will miss the fourth and final Test against India.
Justin Langer was unhappy with criticism of Australia star Steve Smith.
Steve Smith found himself in the spotlight for his conduct against India but Ashes rival Chris Woakes refused to be drawn on the matter.
Australia captain Tim Paine compounded a dreadful display behind the stumps with some foul-mouthed sledging in the third Test against India.
Steve Smith came in for criticism for taking guard during an eventful final day of the third Test between Australia and India.