Cooking boneless skinless chicken breast can be frustrating. Sometimes the chicken breast turns out to dry or flavorless. Much more importantly, the cooking time and internal temperature is crucial in chicken to ensure that you kill off all bacteria.The internal temperature of chicken breast should be 160 degrees Fahrenheit.Having a meat thermometer is a very important tool to have in your kitchen. Learning how to cook the chicken properly can save a lot of time and money and can put your mind to rest whether you are worried about diseases or overcooking.he internal temperature of chicken breast should be 160 degrees Fahrenheit. Having a meat thermometer is a very important tool to have in your kitchen. Learning how to cook the chicken properly can save a lot of time and money and can put your mind to rest whether you are worried about diseases or overcooking.