While Crytek has already confirmed Ryse: Son of Rome for PC, it seems like they may not be stopping there.
In a response (via Worlds Factory) to clarify their original stance on bringing the game to other platforms, and by that specifically the Playstation 4, Senior Producer Brian Chambers uttered the following:
We’re always open to new opportunities for our franchises, although for the moment we have our focus firmly on bringing Ryse to PC players, as well as the ongoing development of our other IP’s: Warface, Arena of Fate and Hunt: Horrors of the Gilded Age.
So there you have it, a Playstation 4 version of Ryse: Son of Rome may be on the way. It makes sense, considering the platform is currently outselling the Xbox One.