Do not give paracetamol to your cat under any circumstances. Paracetamol is a very popular painkiller in humans, however it can be toxic or fatal in small animals. Dogs are less sensitive to paracetamol than cats.
Cats do not have the enzyme needed to break down paracetamol safely. Instead, dangerous compounds are formed within their bodies. This affects the red blood cells, and stops oxygen from circulating effectively. These compounds also cause severe liver damage. 
Contact a veterinary doctor if you notice any strange thing about your pet