If all goes to plan, this would be the first ongoing TV series role for Affleck.
Cuarón is the respected Mexican writer and director of many critically acclaimed productions, including Gravity of course which earned him an Oscar for Best Director.
Despite the secrecy, Cuarón is said to be writing, directing and executive producing, while Affleck is starring and also executive producing.
Affleck recently earned an Oscar for his performance in Manchester By The Sea and picked up plaudits for his role in the quirky supernatural film A Ghost Story.