No, Unlimited Sprint will not be in Call of Duty: WWII
Neither will the Parabolic Microphone.
Since Call of Duty: WWII's reveal in April the developers behind the game have been sharing bits and pieces of information on the game through social channels. We have heard how the game will address racism, how Axis characters/factions will not be playable, and a bit on how the game's campaign story will be told.
Now, Sledgehammer Games' Director, Michael Condrey has revealed two things for the upcoming game. There will not be Unlimited Sprint or Parabolic Microphones, the reveal came from Condrey's reply to two fans on Twitter.
@py6wo Nope— Michael Condrey (@MichaelCondrey) May 24, 2017
Condrey has been careful not to answer any questions pertaining to perks, however, he does tell people to wait until E3 to hear more about multiplayer.