Axiom Verge is currently only available on the PS4 and PC, but that will likely be changing in 2016. Tom Happ recently stopped by the comments section at Destructoid to say that the game will “probably” be available for the Wii U sometime in 2016:
I can’t commit to anything, but Axiom Verge will *probably* be available for Wii U in 2016. 3DS is quite a bit more difficult since the hardware is so completely different. Should Nintendo be reading this and decide to lend me a hand, that’d be VERY appreciated!!
Again, note the “probably” and the “I can’t commit to anything” just in front of it. Axiom Verge appearing on the Wii U in 2016 sounds like far from a done deal, but it also sounds like the game will appear on the platform eventually.
In the more immediate future, Axiom Verge will be released for the Vita sometime this year.