Suicide Squad From Rocksteady, Not Gotham Knights, Continues The Arkham Games' Story
The narrative of the Arkhamverse will be carried on, but not in the game that looks more like Arkham Asylum, Arkham City, and Arkham Knight.
If you're looking for the continuation of the story established in Batman: Arkham Asylum, Arkham City, and Arkham Knight, it's not in the upcoming WB Montreal game starring the Bat-family that more closely resembles those titles. As we learned at DC FanDome, it's Suicide Squad: Kill the Justice League that is a continuation of the Arkhamverse.
As revealed during the Suicide Squad game's panel, Kill the Justice League continues the narrative established in the previous Rocksteady Arkham games. Rocksteady's Sefton Hill said that some of the narrative threads established in that trilogy will be picked up here, although he didn't share specifics.
We do know the game tells an original story where they're apparently tasked with taking down the Justice League, including Superman. It also takes place at least partially in Superman's stomping grounds of Metropolis, as opposed to the Arkham games that were centered in and around Gotham City.
On the other hand, Gotham Knights will not be--WB Games Montreal told ComicBook, "Gotham Knights is an original story set in DC's Batman Universe and not connected to the Arkham series." In Gotham Knights, four members of the Bat-family--Nightwing, Robin, Batgirl, and Red Hood--help take care of the crime-fighting in Gotham after the apparent death of Bruce Wayne. Like Suicide Squad, it can be played solo or co-op, though only two-players as opposed to the Squad's four.
This news might come as somewhat of a surprise, given that Kill the Justice League appears to have a more lighthearted tone of the two games. But in a way, it makes sense: Kill the Justice League is the new game from Rocksteady, whereas Gotham Knights comes from WB Games Montreal. The latter studio did develop Batman: Arkham Origins, but that's not considered part of the core trilogy of Arkham games.
Unfortunately, this means it'll be a while yet before the Arkham story is continued--Suicide Squad: Kill the Justice League will be released in 2022 for PC, PS5, and Xbox Series X. Gotham Knights, on the other hand, will release in 2021 for PC, PS4, Xbox Series X, PS4, and Xbox One.