Check their website... there are intern openings when they're available.

To be blunt, if you feel getting a response for an intern inquiry is a one in a million chance, calculate what your chances are of actually getting a job.

Take initiative and if you want a job at Square Enix, pursue it. That involves sending e-mails to them. Not posting on a Final Fantasy XIV forum asking others who have enough trouble maintaining a proper discussion with each other.