Standard Edition players on consoles get access on February 1st at 1 PM PT, but Deluxe Edition owners can start on January 29th at 9 PM PT.
Suicide Squad: Kill the Justice League is finally out next week after a lengthy delay from last year. Deluxe Edition players will receive early access, and in some new tweets, Rocksteady confirmed it would be available on January 29th, 9 PM PT (or January 30th at your local midnight time) on PS5 and Xbox Series X/S. On Steam, it goes live on January 30th, 10 AM PT.
Standard Edition owners on consoles can start playing at 1 PM PT on February 1st or February 2nd at their local midnight time. Steam players will need to wait until February 2nd, 10 AM PT. The Epic Games Store version is delayed to March 5th, hence the lack of mentions.
Launch is only the beginning of the game, as Rocksteady has revealed the first year of post-launch support. It will add new playable characters and challenges across seasons, starting with The Joker for Season 1 in Spring.