Chappell wrote that despite Dravid guiding the Indian team to a number of victories, his success was not enjoyed by some of the members of the side.
"Sadly the success of the team was not universally enjoyed within the team. Some individuals felt threatened by the new world order and appeared to work against Rahul," Chappell has written in the book 'Rahul Dravid - Timeless Steel', which was launched here yesterday.
"Had he been given the same wholehearted support in the role that he had given others, I think the recent history of Indian cricket may have been very different and he could have gone on to become the most successful Indian captain ever," he added.
The former Australian skipper recalled how Dravid led India to nine ODI wins in a row by inserting the opposition after winning the toss, regardless of the conditions, and then went on to pilot the team to a world record of 17 consecutive wins batting second.
"To learn how to get better at chasing a target, Rahul kept asking the opposition to bat first, no matter the conditions. Under his leadership, India won nine ODIs in a row against Pakistan and England, and went on to complete a world record of 17 consecutive wins batting second."
Stating that the same approach had helped India win Test matches abroad as well, Chappell wrote, "A similar approach to Test cricket brought about India's first overseas victory in the West Indies for 35 years and a first-ever Test victory in South Africa, which could have been turned into a series win if the team had batted better in the second innings in the final Test in Cape Town."
Chappell's reference is to India's Test series victory (1-0 in the four-match series) in the Caribbean in 2006 followed by its maiden win in Johannesburg's opening Test of the 2006-07 series, before Dravid's team lost the next two games and the rubber to the Proteas. (MORE)