CSK has appointed Zaheer Khan as new head coach and Mohit Sharma as their bowling coach.
Batty has extensive coaching experience, having been associated with the English county team Surrey.
Arshdeep has predominantly been a T20I format specialist for India.
Virat Kohli will next be seen in action in five-ODI series in New Zealand.
Khawaja was diagnosed with this condition in 2009 at the age of 22.
The third unofficial Test is scheduled to be played in Lincoln from November 7 to 10.
Rohit Sharma will be in action for India in upcoming ODI series against New Zealand.
India won the Wanderers Test on a tough pitch, but lost the 3-game series 2-1.
Hardik Pandya is reportedly unlikely to continue in Mumbai Indians.
India and New Zealand will clash in the third T20I in Wellington on October 27.
The third T20I will be played in Wellington on October 27.