Is it safe to run with peripheral artery disease?

Yes: Yes. As long as you can tolerate the pain, any form of regular exercise is actually a good thing and will increase your endurance.

Maybe: It depends on how severe your pad is. If you can only walk 4 or 5 blocks before your legs start to hurt, then it is probably a real bad idea to run. Pad causes decreased blood flow to the legs. If you run, you need more blood flow. If your disease is only minor, you may be able to run, but i would ask the physician that told you you had pad.