Deadline has just broke the news that Matt Reeves has been ofered the gig to direct The Batman. Reeves is well known as a JJ. Abrams protege whose films (Cloverfield, Let Me In, Dawn of the Planet of the Apes) were well received critically and commercially. He has a keen directorial eye and a great flair at using visual effects, but keeping the human element of his story very present.
"EXCLUSIVE: I’ve heard Warner Bros has offered the directing job on its Batman franchise to Matt Reeves, the filmmaker who just finished War For The Planet Of The Apes for Fox. This comes weeks after Ben Affleck decided that directing and starring in such a massive undertaking was too much. The emergence of Reeves is hardly a surprise; it was known he was the filmmaker the studio engaged when Affleck made his decision after weeks of wavering."
[Deadline]