Michael Condrey has revealed on Twitter that there will not be a theater mode in Call of Duty: WWII.
There will not. Very sorry. But the Share functionality on the PS4 is very powerful for capturing and uploading.
— Michael Condrey (@MichaelCondrey) July 6, 2017
Theater mode has been in only certain Call of Duty titles throughout the past few years. The last title to have it is Call of Duty: Black Ops 3.