Bone-in, skin-on chicken breasts: cook about 30 minutesSkinless, boneless chicken breast halves: cook 15 to 20 minutesSkinless, boneless chicken breast cut into 2-inch pieces: cook about 10 minutes Step 4: Drain and use When the chicken is done, drain through a sieve into a bowl.one-in breasts with the skin on are a good choice if you want the cooking liquid to become a tasty broth. For a shorter cooking time, opt for skinless, boneless chicken breast halves. For the quickest cooking time, use cut-up or cubed chicken breast. Make chicken salad with boiled chicken.