In a medium bowl stir together all ingredients except the chicken. Reserve 2 tablespoons of the mixture for the grilled flat bread. Add the chicken to the bowl, and toss with herb mixture so that all pieces are well coated. Cover and place in refrigerator for at least 2 hours and as long as overnight.
Heat a grill or grill pan over medium heat. Be sure to oil grate when ready to start cooking. Let chicken stand at room temperature for 20 to 30 minutes before grilling.
Place chicken on hot, oiled grill and cook for a total of 18 to 20 minutes giving it a quarter turn every 4 to 5 minutes. Transfer chicken to a platter and let rest for 5 minutes before serving.