"Wow, my first nomination for #Quantico. Feel like a true debutante again. Thank you @peopleschoice. Fingers crossed," tweeted Priyanka, who made her international TV debut with the show this year.
Other nominees are Marcia Gay Harden and Lia Michele.
And to be victorious, she has asked her fans to begin voting.
"My first nomination for #quantico. Only six episodes in. Let the voting begin," the former beauty queen, who plays the role of Alex Parrish, a FBI recruit with a mysterious past, tweeted.
The show has also been nominated for Favourite New TV Drama award along with "Minority Report", "Supergirl", "The Player", "Rosewood" and "Limitless".
"Double whammy! #Quantico nominated too! Yay," she wrote on the micro-blogging site.