The in-form Mayank Agarwal is likely to open with Shikhar Dhawan in Rohit's absence in the ODI series beginning Friday.
Opener Ruturaj Gaikwad scored his third successive fifty as CSK overhauled the target of 154 in 18.5 overs to dash Kings XI's hopes.
The save proved crucial for his side as Kings XI needed only 12 to win when the target could easily have been 16.
Skipper Virat Kohli confirmed that K L Rahul will continue to bat in the middle order.
Dhawan had suffered a deep cut on his left knee during a Syed Mushtaq Ali Trophy game against Maharashtra in Surat and was subsequently ruled out of the ongoing Twenty20 International series.
India will play three ODIs against the West Indies in Chennai (December 15), Visakhapatnam (December 18) and Cuttack (December 22).
Rahane, Agarwal's partner in a 190-run stand for the fourth wicket, made 86.
Saxena, who plays for Kerala in the domestic circuit, recorded figures of 7/41 as India 'C' completed a big win.'
Rohit Sharma was out after a potentially career-defining 176 in his first innings as a Test opener.
Besides Rohit and Agarwal, other Indian opening pairs to share a 300-plus partnership in Test cricket are Vinoo Mankad and Pankaj Roy (413 against New Zealand in 1956) and Virender Sehwag and Rahul Dravid (410 against Pakistan in 2006).