Emirates Elite Panel Match Referee Chris Broad had spoken to representatives of both India and Australia and advised them to avoid making inappropriate public comments, the ICC said on Wednesday.
Broad spoke to the captains, coaches and team management during a pre-series meeting and warned inappropriate comments could result in a Code of Conduct charge being laid against the individual responsible.
The first of the four-match Test series starts in Bangalore from Thursday.
ICC Chief Executive Haroon Lorgat too urged the teams to play the game in the right spirit.
"The whole world has been waiting for this series with great expectations and we all want it to be remembered for all the right reasons, because of great cricket.
"There has been a long build-up to the series but now it is time for the cricket on the field to do the talking as a demonstration that Test cricket remains the pinnacle of our great game," Lorgat said in a press release.