Nayyar, who hails from Delhi, rose to prominence after playing the role of Dr Raj Koothrappali in the comedy series.
"@priyankachopra good luck on Quantico. Lovely to see dilli and mumbaiyyas working it across the globe," Nayyar, 34, posted on Twitter.
The 33-year-old 'Mary Kom' star thanked Nayyar saying, "Thank you @kunalnayyar love your show!"
'Quantico' is about young FBI recruits, who battle their way through training at the Quantico base in Virginia. The actress, who is currently shooting for the show in the US and Canada, plays Alex Weaver, an FBI trainee, whose past comes back to haunt her.
'Quantico', executive produced by Mark Gordon, Josh Safran and Nick Pepper, will premiere on September 27.


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