It was talked about in the PS4/Xbox One segment so no, it's not a handheld game.
I don't think he says it's a new title though. Maybe someone more proficient at Japanese (Duckroll?) can clarify.
Well the article in the OP even explicitly calls it "home game machine", so I was under the assumption that much was going to be obvious. I was merely answering his question if "console" could refer to more than just home consoles, which typically it does, whether it applies here or not.
I do suspect that it may not be an all-new title too though. Square is currently sitting on a few projects now that we know exist, but haven't been officially announced or have a name yet. It's possible he is referring to one of those.