Combine the first seven ingredients to make the marinade (mix them well). Marinate the chicken breasts for 1 - 2 hours (marinate longer if you want the chicken to be more flavorful).
Broil chicken breast until cooked through, then shred or cut into bite-sized pieces. Combine cooked chicken with leftover marinade and cooked penne. Heat everything through thoroughly (the remaining marinade must be cooked because there was raw chicken sitting in it). Serve with grated Parmesan cheese.