Board Thread:Naruto Discussions/@comment-24347194-20150211223038/@comment-26010916-20150213215124

Bambusek wrote: He doesn't really heals Hinata, all he does is removing Toneri's control jutsu from her body.

And flying is weird, pretty much he did this only at the end during kiss scene while earlier, when Hinata pretends to accept Toneri's proposal and leaves with him, Naruto chases after them and surely he could not fly.

Already proved it here: http://naruto.wikia.com/wiki/Thread:163094