No official announcements have been made, but it seems like Square Enix is preparing for the game to make the jump to new-gen consoles.
We asked Matsuda if Square Enix is having any reservations about having the installments of Final Fantasy VII Remake split between generations, or if the first installment had a chance of making it over to new-gen consoles. "It's the hottest topic at the moment and we thought you might ask us that," Matsuda said. "I believe that our teams have made it so that the game will support both the next generation and the current generation of consoles. I believe it is being developed so that it is going to be playable on both, so I'm not really concerned about that and I believe that the fans are also going to be able to enjoy it on both, including the next-generation of consoles."
Matsuda's comment does not constitute an official announcement, but it can at least give you some comfort if you've been wanting to know if there's a chance you'll be playing Final Fantasy VII Remake on the new consoles.