Chahal has been a regular member of the Indian T20 side but has not played ODI cricket since January this year. His last assignment with the Indian team was in their five-match T20I series against the West Indies.
He will be available for selection in Kent's remaining two home Championship matches against Nottinghamshire & Lancashire, as well as Kent's away fixture against Somerset.
With three matches remaining, Umesh Yadav replaced injured New Zealand pacer Doug Bracewell and became the team's second active foreign player for the season after Simon Harmer of South Africa