You can buy them at the Pokemon League and the Route 9 mall.
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You buy them at the poke-mart once you have enough badges
You "trade" apricorns with Kurt of Azalea Town. I believe that you trade white ones for Quick Balls. -GlamGlaceon
You "trade" apricorns with Kurt of Azalea Town. I believe that you trade white ones for Quick Balls.the safari zone first lady with the butterfree
Quick balls don't exist in sapphire.
You can buy Quick Balls at random stores, just try 'em all. Another way to get Quick Balls, and others, too, is to find a different Pokemon each day for the article man. He'll give you three balls per Pokemon that he asks you to bring him.