Yakuza: Like a Dragon has a brand new English trailer, which debuted earlier today during the Xbox Series X stream. There, SEGA confirmed that the game will be available at launch on Xbox Series X, but there's been no mention of a PlayStation 5 version. It's safe to assume that backwards compatibility will let you play the PS4 version on your PS5, but it'll be a shame if it doesn't get an enhanced edition on Sony's next-gen console.
On that note, we've reached out to SEGA and we'll let you know if we hear anything back.
In the meantime, Yakuza: Like a Dragon is still set to release later this year here in the West.