Despite that, US conservatives have called for him to be cut from the annual Christmas in Washington concert attended by President Obama.
Broadcaster TNT is resisting the pressure, saying no changes are being made to the concert bill.
Psy has not pulled out of the show and is still scheduled to perform alongside artists Diana Ross and Demi Lovato.
The event will be hosted by Conan O'Brien and will feature a succession of carols and songs, with proceeds going the the Children's National Medical Center.
President Obama has confirmed he will attend with First Lady Michelle Obama.
Psy launched to international acclaim when the video for his song Gangnam Style went viral.
It became YouTube's most watched video with more than a billion views, making the rapper a millionaire who freely crossed cultural boundaries around the world.
Much of that success has happened in the US, where he has managed to weave himself into pop culture.
He recently appeared on the American Music Awards, dancing alongside MC Hammer in a melding of memorable dance moves that book-end the last two decades.
- additional reporting AP