updated 08/25/2015 AT 8:16 PM ET
•originally published 03/02/2014 AT 11:50 PM ET
It was the first time Menzel had performed the song live on television, and her first time singing at the Oscars.
“If I wasn’t nervous, something would be a little off,” the Tony Award winner said before the show.
Frozen won Best Animated Feature earlier in the night, and “Let It Go,” which was specially written for Menzel by Kristen Anderson-Lopez and Robert Lopez, also won Best Original Song against “Happy” from Despicable Me 2, “Ordinary Love” from Mandela: Long Walk to Freedom and “The Moon Song” from Her.
Menzel’s appearance wasn’t without its glitches: John Travolta, who introduced Menzel’s performance, inadvertently mispronounced her name, leading host Ellen DeGeneres to later say the singer’s name correctly.