It's very, very early in development.
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Crytek announced that they are indeed working on a Crysis 4. The announcement came from CEO Avni Yerli in a press release on the Crytek website.

Crytek says that the game is still in the early stages of development, so it will likely be quite a long time before we see much of anything on this one. They also mention that they will be "listening to our community." Whatever that means as it applies to this game.

We don't know much about this one aside from the fact Crytek wants to bring the fans a "truly next-gen shooter." I guess that rules out a PlayStation 4 and Xbox One release at least.