Question

If you level up Primeape, does the Rage Fist counter reset to evolve?

Answer 1

Rage Fist inflicts damage. Its power increases by 50 each time the user was hit during a battle (including times the user hit itself in confusion), up to a maximum of 300 (after 5 hits), with each strike from a multi-strike move counting as one hit. Switching out or fainting does not reset the hit counter.

No, leveling up should not affect the counter. Just use the move 20 times. Since it is a 10 PP move, you will need to use an Ether to refuel the PP.

Side note: My Primeape gained 3 levels as a result of using Rage Fist consecutively 20 times by just OHKOing, 2HKOing, or even 3HKOing various wild mons in the Asado Desert.

Comments

I think you have the wrong source. The question is asking about the counter that counts how many times Primeape used rage fist. Your source is about the counter that counts the number of times a rage fist user was hit.

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Either way, I don't think you can extrapolate from the bolded sentence that leveling up will not reset the counter. The answer is probably "no" but this isn't conclusive.

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Question: Does the move have to work in order to count towards the 20 needed for evolution? Or would, for example, using it against a Normal type that has an immunity also count?