The term 'parasitic' in this context refers to the device's ability to obtain the necessary power from something else in its environment.
A parasitic sensor in a building could have, for example, a battery which is charged by proximity to wiring, charging itself off electrical fields produced by ac current.
A parasitic sensor that is worn or implanted on your body could run on piezoelectric charges generated by your movements.
Vibration is another source of power for small aps like sensors.