"As much as it would seem that Greg is probably better off without all the angst that comes with one of the most demanding jobs in cricket, I doubt he'll feel completely fulfilled," the older Chappell wrote in his column in Mumbai tabloid Mid Day on Thursday.
"A perfectionist, even one who has mellowed, is never going to be happy with under-achieving on his expectations."
The challenge of guiding a talented-yet-misfiring Indian team to the top saw Greg Chappell take up the demanding job two years ago.
However, he handed in his resignation on Wednesday, two days before the Indian board was to delve into the team's World Cup first-round exit and weeks before his contract was due to expire at the end of April.
Ian Chappell felt Greg's Australian approach to the game had been misunderstood as was apparent by Sachin Tendulkar's angry reaction to suggestions that the coach had questioned the attitude of the senior players.
"Greg is a respectful person but there is no point in trying to be like an Indian when you've been employed because of your knowledge and experience as an Australian cricketer," he wrote.
"For example, in Sachin Tendulkar's recent comments he said: 'No coach had mentioned even in passing that my attitude was not correct.' As a cricketer Greg was always trying to better himself, especially his mental approach to the game.
"Improvement doesn't come without constantly challenging yourself and also responding to the demands of your team mates, something that happened regularly in the Australian team.
"Having seen Tendulkar struggle in recent times, Greg would accept it as part of his job to challenge the little master to resurrect his batting in order to help India win matches."
Ian Chappell said his brother was not questioning a player's attitude but was only striving for improvement.
"The fact that his tenure as Indian coach was less than satisfactory for both Greg and the team is probably a good indication that the system producing young cricketers needs more than just a bit of fine tuning."