Cats can eat eggs. Eggs are rich in protein, and the yolks are particularly rich in unsaturated fatty acids and lecithin. These components help cats grow and develop, maintain nutritional balance, boost immunity, and keep their fur shiny. However, never feed them raw eggs; always feed them cooked eggs. Raw eggs can easily cause vomiting, diarrhea, and other adverse reactions in cats. You can feed your cat one egg 2-3 times a week. 
Benefits of eggs for cats:
1. The lecithin in egg yolks has an emulsifying effect, which can loosen tightly packed hairballs in a cat's digestive tract, making them easier to expel.
2. The choline in egg yolks can also promote intestinal peristalsis and increase digestive tract activity in cats.
3. The calcium carbonate in eggshells can strengthen a cat's teeth and bones, and when ground into powder, it is an excellent source of calcium.