Bloomberg Japan recently broke news, with CTFN's news page translating it (note: to link the link, it requires an account) - It notes that multiple companies are interested in purchasing Square Enix. Who those companies are, or if Square Enix will accept any offers or put themselves on the market, are both unknown. Nothing could come of it for days, or even weeks. Nobody even knows if any buyers are interested in just buying a portion of Square Enix, or the acquisition of the entire company.
The last time any acquisition of this scale for gaming occurred was in September last year, when Microsoft bought Bethesda for $6B USD. If any other updates happen, we'll be sure to publish them.
Author's Note: Wow. I mean, it probably won't have anything happen, but I am interested to see who's trying to throw money on the table. Any guesses? Let us know your thoughts below.
Edit 1: Square has deconfirmed the alleged acquisition [Thanks Siliconera!] with a short and simple statement. No companies have talked directly to Square Enix about the acquisition.