Medicham can't naturally learn Ice Punch upon leveling up. But there are other methods.
Here are 3 ways:
1: Give a Heart Scale to the Move Tutor in Pastoria and he'll teach it Ice Punch.
2: Trade in Colored Shards to other Move Tutors and they'll teach it Ice Punch.
3: Breed a Male Human-like Pokemon that knows Ice Punch, with a Female Medicham, and the Meditite babies will automatically know Ice Punch upon hatching.
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Electivire cannot learn Ice Punch via Level-Up. The only way to get an Electivire with Ice Punch is to breed (with Hitmonchan or Medicham) and then evolve the hatched Elekid into an Electabuzz, then Electivire.
buizel doesn't learn ice punch, but floatzel can learn ice punch
He doesnt learn ice punch
Fighting/Pshychic Pokemon can learn it. Medicham learns them.
Floatzel does not learn Ice Punch when it levels up. It is a BP move. If you want it to learn Ice Punch, it has to first be a Buizel and give it the BP move. If it is already a Floatzel then it will not work.