In this video Darren teaches the signs for various specialist people (unfortunately in this video paramedic is not signed!!) To sign paramedic is index and middle finger moving in a small circle like the red and blue turret lights on an ambulance. You could sign "me work paramedic".
Here are the signs for different people in the medical system:
nurse / doctor / specialist surgeon / mental health worker / physiotherapist / office worker (administration) / cleaner / specialist team - Orthopaedic (bones) / Cardiologist (heart) / ENT (ears, nose throat) / Neurologist (head) / Paediatrician (children)