According to a Hungarian retailer Crash Bandicoot N.Sane Trilogy is coming to Xbox One.
SuperGamer.ru has an Xbox One version of the available for pre-order. They list the game for December so the game may release on Xbox One later this year.
As of today there has been no confirmation that Crash Bandicoot N.Sane Trilogy will come to any other console than PS4. There have been multiple rumors and supposed leaks that say it will come to other consoles.
The closest to an official announcement comes from PlayStation Ireland. In a tweet they stated that the game would be a PS4 exclusive then clarified that it would only be coming to PS4 first. No other source has confirmed this information, but the tweet still remains.
It would seem that it is very likely that the Crash trilogy will come to other platforms. The Crash IP is owned by Activision and multiple rumors from different sources have suggested it would not be an exclusive. Although the SuperGamer list the Xbox One version of the game for December 8th, no other source has suggested that date.