If a cat scratch breaks your flesh or you are bitten, it’s not a little nothing. Wash the wound immediately. Then apply direct pressure with an absorbent dressing or bandage. And then get to the doctor.
You may need antibiotics. A cat’s claws or teeth can deposit harmful bacteria deep into your system. In some cases, the doctor will also recommend a tetanus booster.
Finally, if the cat is not your own, find out if he is current on his rabies booster. Injuries from cats don’t cause the blunt damage that bites from dogs do, but they are still very serious and can end up being life-threatening in their own ways.