The breast, wings, and drumsticks are considered the “good parts” because they're tender and nutritious. If you want to feed your cat chicken, the best way is to gently boil the meat cuts and remove all the skin since it has an unhealthy fat content.
Chicken breast is a great source of protein and cats require a lot of protein to stay healthy. It's also a lean meat, low in fat and calories, and is gentle on the stomachs of cats that are older or have stomach issues.