By definition, MRSA is resistant to some antibiotics. But other kinds of antibiotics still work. If you have a severe infection, or MRSA in the bloodstream, you'll need intravenous antibiotics.
But antibiotics aren't always necessary. If you have a small skin boil caused by MRSA, your doctor may just cut it open and drain it.
If you're prescribed antibiotics, follow your doctor's instructions. Don't stop taking your medicine, even if you're feeling better. If you don't take all of your medicine, some of the staph bacteria may survive. You also increase the risk of antibiotic resistance in the surviving staph population. If you still have staph you can infect someone else.