Ask your doctor!

Narcotics DO, in fact, affect the autonomic system which is what is being tested in the QSART.

You need to call them and tell them each medication and ask them which ones have to be stopped. Some (but not all) narcotics may need to be stopped for this test...all depends on what the doctor wants. You will likely experience withdrawal effects after 2 days off them (or other meds), so discuss this with your doctor.