Like all previous Pokémon games, there are various people dotted around the Kalos region who will teach your Pokémon a variety of moves, all for free. This page is to detail each one, as well as what they teach
Move Relearner & Deleter
To start things off, the Move Deleter and Move Relearner are in the house north-east of the Pokémon Center in Dendemille Town. The Move Deleter is the old man on the left, and he'll delete any move for you. On the right, the woman will reteach your Pokémon any move in its level up for the price of a single heart scale. In addition to that, she will now help your Pokémon remember any Egg Moves they once had.
Laverre City - Pledge Moves
In Laverre City, in the house east of the gym, you will find this gentleman who will teach the moves, Grass Pledge, Fire Pledge or Water Pledge to compatible Pokémon.
Snowbelle City - Elemental Beams
In Snowbelle City, in the house in the south-west of town, there is a man who will teach incredibly powerful moves to specific Pokémon: The fully evolved starter Pokémon.
Snowbelle City - Mythical Moves
In Snowbelle City, in the house above the Pokémon Center, this gentleman is a part of a long line of family who have been raised to teach special moves to certain Pokémon. These Pokémon are Keldeo and Meloetta..
Route 21 - Draco Meteor
In Route 21, in the north-east of the route, accessible only by looping round with the move Strength, there is a house. Inside this house is a man who says he can teach the strongest Dragon-type move to Dragon-type Pokémon.
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