The following page lists the Generation VI Pokémon that are known to be able to learn False Swipe.
Generation VI Pokémon that can Learn False Swipe from TM54
You can use TM54 to teach the following Generation VI Pokémon False Swipe.
Other Pokémon that can Learn False Swipe from TM54
The following pokémon from previous generations can learn False Swipe from TM54 in Pokémon X and Y.