The actress stars in Armando Iannucci's new sitcom Veep. She previously appeared in 2009's In the Loop, the writer's movie spinoff of the BBC's The Thick of It.
"It is totally my brand of deadpan humour," Chlumsky told Stylist of the show.
"Armando gathers amazing UK writers together every time. You should be very proud to say they're your countrymen."
Of returning to acting after quitting for several years, she said: "I worked hard. It wasn't like, 'Boom, I'm back'.
"But I'm fortunate; especially with Armando's work. I'm now able to be in shows that I also enjoy. Not everyone gets to experience that."
Veep was recently renewed for a second season by HBO. It starts in the UK on June 25 on Sky Atlantic.