Anil Kumble wants India to move on from the recent controversies and put the focus back on cricket for the remainder of their tour of Australia.
Relations between the two countries have become strained following the ill-tempered second Test in Sydney, which Australia won to move 2-0 ahead in the four-match series.
The Board of Control for Cricket in India (BCCI) briefly suspended the tour after spinner Harbhajan Singh was handed a three-match ban for racially abusing Australian all-rounder Andrew Symonds at the SCG.
Harbhajan maintains his innocence and has appealed against the sanction.
The BCCI have allowed the tour to continue, pending the outcome of Harbhajan's appeal, for which no date has yet been set.
The Indians also complained about the 'incompetent' umpiring during the second Test, prompting the ICC to remove Steve Bucknor - who made several poor decisions in Sydney - for next week's third Test in Perth.
India play a two-day match against an ACT XI in Canberra prior to the third Test, leaving Kumble relieved to have the chance to get back on the field.
"This was just a temporary setback and we need to move on - the game is bigger than the individual," Kumble said.
"It's nice to be playing cricket again and I have no problems. The relationship between India and Australia has always been good.
"We are all equal partners to ensuring that cricket is played in the right spirit and, I'm sure moving forward, everybody will stick to that. On behalf of my team, I'm sure we'll play in the right spirit.
"I'm proud of the way Indian cricket teams have played over the years and we'll continue to do that."
Kumble is hopeful the remainder of the series will be played in a better atmosphere than in Sydney.
"It was not that the spirit of the game was attacked but the focus has been to ensure that better spirit prevails in the game," he added.
"I have great respect and regard for all the players who have played for Australia."