Ashwin is back in the Indian limited-overs squad after spending four years on the sidelines.
Vice-captain Ajinkya Rahane will lead the side in the opening Test in Kanpur as Kohli extends his break after opting out of the three-match T20 series starting November 17 in Jaipur.
The BCCI announced the appointment of former captain Dravid as the head coach of the national team on Wednesday, November 3.
Rathour is the only one from the current support staff, who is keen on a second stint as head coach Ravi Shastri, bowling coach Bharath Arun and fielding coach R Sridhar have decided to move on.
India will play New Zealand, West Indies, Sri Lanka and South Africa in the home season which starts with T20Is against New Zealand and ends with T20Is against South Africa.