At a news conference Friday, the famously eccentric singer was perched on a large purple and silver couch and sported the hairstyle in the white, orange and green of the Indian flag.
At another appearance she had placed a giant black net bow on her hair.
She said she had been "dying" to visit India and promised her fans a "unique" performance.
The practice sessions for the inaugural Formula One Indian Grand Prix started Friday. The final race, at a track in the suburbs of the Indian capital, is on Sunday evening. Lady Gaga will perform at an after-party.