The master spinner was disappointed to see the quality of some of the pitches prepared in the series.
According to Sydney Morning Herald, Arthur, in the job since November 2011, is under contract with CA until the end of the next World Cup, to be held in Australia in 2015, but is under pressure after presiding over the country's heaviest loss in a series in 34 years.
Australia's 0-4 drubbing in India was their worst result in the Indian subcontinent and the worst ever since losing 1-5 to England in the 1978-79 Ashes.
The South African said he had no regrets at axing the players for the third Test against India for not doing a homework assignment designed to identify team weaknesses.
There has been speculation about Queensland coach Darren Lehmann being considered as a replacement for the South African, but according to the newspaper, the CA said it was not true.
With Tendulkar's form increasingly coming under the scanner after a string of low scores in Test matches at home, the BCCI boss feels any assessment on India's greatest cricketer will be unfair.
MS Dhoni, who visited the BIC for the first time rued his delayed visit to the circuit.
Stand-in captain during the Delhi Test, Shane Watson was hit the hardest by the unforgiving Australian media after their 4-0 Test defeat in India.
Little Master says Australia series has made men out of boys and Team India can afford to make some sacrifices ahead of South Africa tour.
The cricket expert minced no words in his damning assessment of Australia's performance during their disastrous tour of India.
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