Dazzling
Opposing Pokémon cannot use priority attacks.
Full effect
When an opposing Pokémon attempts to use a move that targets this Pokémon or an ally, and that move has priority, it will fail.
In game description
The Pokémon dazzles its opponents, making them unable to use priority moves against the Pokémon or its allies.
Pokemon with Dazzling
Using Dazzling in Cobblemon
Abilities are passive and always active, so Dazzling costs you nothing to run. If it is marked hidden on a species above, expect it to be harder to obtain: servers differ in whether hidden abilities come from breeding, an Ability Patch, or events.
See the Pokedex for which abilities each species can have, and IVs, EVs and breeding for how to actually pass one down.