The joint venture carrier, in which Tata Sons holds 51 percent stake while the rest is held by Singapore Airlines, currently operates 317 services per week with a fleet of nine Airbus A320 planes.
Kapoor will take up his new assignment in February next year, Vistara said.
Vistara chairman Prasad Menon did not confirm if reconfiguration was on the airline's to-do list immediately.
Vistara's network now offers 237 weekly flights connecting Delhi, Ahmedabad, Bengaluru, Bagdogra, Guwahati, Goa, Hyderabad, Lucknow, Mumbai and Pune.
Vistara CEO Phee Teik Yeoh says removing 5/20 is a step in the right direction and even though what 5/20 may be replaced with is complicated, waiting time for new airlines still stands shortened to two to three years from five years earlier.
Vistara now flies to seven destinations - Delhi, Mumbai, Ahmedabad, Goa, Hyderabad, Guwahati and Bagdogra with a fleet of five Airbus A320s.
Vistara is looking to procure an undecided number of new narrowbody and widebody aircraft to increase domestic flights and begin flying to the Gulf and eventually to Europe and the United State
The tie-up of Vistara, launched on 9 January, is the first such programme with another airline and follows the recent launch of an interline partnership with Singapore Airlines.
The airline, which commenced its flight services in the country early this month from three airports -- Delhi, Mumbai and Ahmedabad -- at present operates 68 frequencies per week.
Yeoh has been banking on an exponential change in the demand curve and says his airline is well positioned to cater it when greater disposable incomes lead to an explosion in air travel.
Vistara, which is awaiting flying permit from the DGCA to roll out services in the country, is a 51:49 joint venture between Tata Sons and Singapore Airlines.