Rawst Berry
When held by a POKéMON, it will be used in battle to heal a burn.
Route 104Pretty Petal Flower ShopGirl
The girl by the counter gives one random berry from the first eight, once per day.
Floaroma TownFlower ShopPokémon Breeder
The Flower Shop girl gives one random berry, one time only.
Pal ParkPark LobbyLobbyPark Ranger
Migrate six Pokémon from a Generation III game, then catch all six to receive one random Berry from the matching score band. Six Park Balls are supplied for the show and cannot be kept. Each source save can migrate once per 24 hours.
Route 208Berry Master's HouseBerry Master
The Berry Master hands out one random berry from Cheri through Tamato, once per save (received flag, no daily reset found).