As of Omega Ruby and Alpha Sapphire, Ninetales does not learn any moves by leveling up. Instead it can learn these TMs: Psyshock, Calm Mind, Roar, Toxic, Hidden Power, Sunny Day, Hyper Beam, Protect, Safeguard, Frustration, Solar Beam, Return, Dig, Double Team, Flamethrower, Fire Blast, Façade, Flame Charge, Rest, Attract, Round, Overheat, Energy Ball, Incinerate, Will-O-Wisp, Payback, Giga Impact, Psych Up, Dream Eater, Swagger, Sleep Talk, Substitute, Secret Power, Dark Pulse, and Confide.
Here are the Tutor Moves that it can learn from the Battle Resort: Covet, Foul Play, Heat Wave, Iron Tail, Pain Split, Role Play, Snore, Spite, and Zen Headbutt.
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Ninetales can't learn any moves on it's own. It learns moves as a vulpix before it evolves, or through TMs.
Yes, Ninetales can learn Iron Tail (TM23).
Ninetales and gulpin have like 20 moves each by leveling, starter pokemon also learn many moves by leveling A pokemon can learn better moves if you neglect evolving it for a while, vulpix can learn inferno at level 50 if you can hold out on giving it a fire stone until the . (Inferno is a great move)
Many evolution stone pokemon, like Ninetales, and Simisear, do not learn moves by levelling, meaning you need to level the preform up until it learns the moves you want, and only then use the evolution stone.
my opinion is the following: flamethrower, fire blast, will-o-wisp, and overheat.