In my opinion, the best way to organically control flea beetles without the use of pesticides or chemicals is with diatomaceous earth, which is a natural substance derived from fossils dug up from earth that is ground into a fine powder.
Diatomaceous earth is perfect for spreading around the yard and garden areas in order to control parasites and insects like flea beetles.
The product can also be used indoors because it is perfectly safe for pets and humans, so you can spread it around the carpeting and flooring areas of your home if you like.
In fact, it is so safe that it can be applied directly to your dog or cat as method of flea control.