Paramedics are emergency staff for the prison that are used to heal prison staff and prison in-mates. You can summon them by selecting the "emergencies" tab at the bottom of the screen. You can only have 2 units of paramedics on scene at a time, each unit consists of 4 medics.
Paramedics are moved around the prison by selecting them and then right clicking where you want them to go. You can select them by clicking on the medic Icon in a blue box on the right hand side of the screen when they are present in your prison. You can also just click on each individual paramedic and divert them to a location.