Naoki Yoshida, the director of Final Fantasy XIV has said many times that Square Enix is finding ways to port the game to Microsoft's Xbox One.
When asked by Polygon, Yoshida answered with the following statement:
"Microsoft actually approached the Final Fantasy 14 team about the cross-platform opportunity. When our team reviewed the regulations that are associated with that, we realized that Microsoft may not have the experience or understanding of running an MMORPG as an online game genre just yet. The Final Fantasy XIV team has fed back to Microsoft that there are certain elements of its regulations that we would have to consider waived. We're waiting on Microsoft's response for that, but we are having discussions." — Naoki Yoshida
Although Square Enix has not made any official announcement about when this could happen, but we can expect more news from them about this matter in the next few months (fingers crossed).