Descructoid reports that an FFXIV Employee posted on his LinkedIn account that FFXIV will be on the 360. The link to the profile no longer works, so the claim can't be verified.
This comes as no surprise as Square Enix never ruled out the possibility of the game coming to 360; however there were complications/disagreements regarding the use of Xbox Live. However, as we all know, FFXI has been running on Xbox for several years, so it was only a matter of time for FFXIV.
http://www.destructoid.com/final-fantasy-xiv-revealed-for-xbox-360-pc-162377.phtml