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.tep 3: Cooking the chicken. Place the chicken in a saucepan large enough to hold the chicken pieces comfortably. Add enough cooking liquid to cover the chicken. If desired, add any other ingredients for flavoring the liquid and chicken. Bring to boiling on medium-high heat; reduce the heat.