Parrot is a curious bird. They like to explore their surroundings and look for food on branches or on the ground. If they don't move in one place, it may be because they are resting or looking for food.
If you find that the parrot is motionless, you can observe their behavior and surrounding environment. If they look healthy and have no injuries or other abnormalities, then they may just rest or observe their surroundings. If they look injured or abnormal, it's best to take them to the vet.