Paramedics are emergency staff for the prison that are used to heal prison staff and prison inmates. 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.