The Filmfare award-winning actor posted an appeal on Twitter to support the Indian alternative cinema movement through their new release.
Kalki outlined: "Yellow Boots needs 650,000 tickets for us to sustain alternative movie making. Since I have only 12,000 followers I need you guys to tell everyone."
The comparatively low cost of filmmaking in India, combined with a daily cinema-going population of 15,000,000, can allow low-budget releases to perform well commercially.
Speaking to Digital Spy, director Kashyap elaborated: "Taking the average ticket cost of 100Rs (£1.35) after taxes and the exhibitors share, it comes to break even for us."
The project, about a British girl who goes to Mumbai to look for her long-lost father, has already received critical acclaim at both the Venice and Toronto film festivals.
That Girl in Yellow Boots releases on September 2.
Watch the trailer for That Girl In Yellow Boots below: