Parish joined the BBC’s commercial production unit in October 2019 from Line of Duty and Bodyguard producer World Productions.
Her departure was not announced by BBC Studios, but the company confirmed the news to Deadline. Her replacement is expected to be announced soon.
Mark Linsey, president of scripted at BBC Studios Productions, said: “We want to thank Priscilla for all her work and wish her all the best for the future.”
Parish has overseen shows including BAFTA-winner Time, starring Sean Bean and Stephen Graham. A second season recently launched with Bella Ramsey and Jodie Whittaker.
Also on BBC Studios’ slate is the upcoming Kidnapped, which will dramatize the abduction of model Chloe Ayling. Parish was also an executive producer on Netflix feature Luther: The Fallen Sun.
BBC Studios is also no longer the sole producer of Doctor Who after Bad Wolf was effectively handed the production contract in an unusual deal to restore Russell T Davies as showrunner.