Dodging A's attack and being able to fight him are two different things. It means he's faster, but doesn't mean he's strong enough to deal enough damage to A.
If it's a real fight I think A would win. Naruto dodged A but that doesn't mean he can move at that speed throughout the entire fight. Naruto's gonna have openings and that's all the chance A needs to hit him with one of his nintaijutsu moves