There has not been any major entry in the Batman series for more than a decade, despite there is a huge fan base always waiting for the arrival of The Dark Knight. But the fans only had to face disappointment for the last decade, as there has not been any mainline entry in the series.
The Arkham series of the hero from Gotham became extremely famous, and all four AAA titles of the series became extremely popular among gamers. The last title was Arkham Knight, which was released back in 2015 was also a huge hit and critical success.

The next Batman game will potentially be a PS5 exclusive
It is said that the Arkham series was over with Arkham Knight, and there will be no more entries in the Arkham series despite the final title being a huge success. But the fans are still waiting for the next title of the Dark Knight, whether it will be an Arkham title or not.
The last major entry in the Batman series was Arkham Knight
Recent reports suggest that Rocksteady Games is presently working on another Batman project, but there is no information whether it will be a new series of The Dark Knight or it will continue the Arkham series. This is still a rumour and there is no confirmation on it.

The Arkham Knight was released back in 2015
Rumor also has it that the upcoming title of the Dark Knight, which is supposed to be made by Rocksteady Games, will be a PS5 exclusive. Nowadays, a lot of AAA titles are getting released as PS5 exclusives but later get ported to PC and sometimes on Xbox too.
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Another superhero title, Marvel's Spider-Man was also launched as PlayStation exclusive at first and was later gets ported to PC. If the next major Batman title gets released as a PS5 exclusive, we can surely expect it to get released on PC or Xbox later.