The brown-banded cockroach is commonly found in the northeastern, southern, and midwest regions of the United States. They can often be found in homes and apartments, but are less common in restaurants. You may need a cockroach extermination service to drive the brown-banded cockroach out of your home. They tend not to be found in the daytime since they avoid light. The brown-banded cockroach eats a wide variety of items, almost anything organic, including decaying matter.