It's normal for kittens to sleep a lot. However, if a kitten has a poor appetite and is lethargic, it may be sick and should be taken to the vet for a checkup. In the past, cats only exercised when hunting, mating, or migrating, and spent most of their time sleeping and resting to avoid excessive calorie expenditure. 
It's normal for kittens to sleep a lot. However, if your cat has a poor appetite and is lethargic, it may be sick and you should take it to the vet for a checkup. In the past, cats only exercised when hunting, mating, or migrating, and spent most of their time sleeping to avoid excessive calorie expenditure. Cats also have deep sleep and light sleep. Generally, cats are in light sleep; they will know when you call them, but they may not respond. If you're worried that your cat is sick, you can observe its diet. Sick cats usually eat very little or not at all. If you find that your cat is not eating or drinking, you should take it to the vet for a checkup.