The "Fashion" actress shared photographs of the event on micro-blogging website Twitter.
"Thank you to everyone who made the TCAs such a delight for nervous me. Thank you (for) all your support. Now after no sleep for days I will relish my bed," Priyanka tweeted.
Before going for the TCA gathering, Priyanka, took to photo-sharing website Instagram to share her excitement.
"Nerves! Off to LA for ABC's 'Quantico' panel at the Television Critics' Association bi-annual gathering," she wrote alongside a photograph.
"Quantico" is a story about a diverse group of recruits have arrived at the FBI Quantico Base for training. In the ABC thriller series, Priyanka plays the lead role of Alex Parish, an agent whose past resurfaces soon after she arrives at the training camp.
The show also stars Dougray Scott as Liam, Jake McLaughlin as Ryan, Aunjanue Ellis as Miranda, Yasmine Al Massri as Nimah, Johanna Braddy as Shelby, Tate Ellington as Simon Asher and Graham Rogers as Caleb Haas.
The series is written by Josh Safran. Executive producers are Josh Safran, Mark Gordon and Nick Pepper and it will air in the fall season.