In a large shallow dish, mix the oil, Cajun seasoning, Italian herbs, garlic granules and lemon pepper. Place the chicken in the dish, and turn to coat with the mixture. Cover, and refrigerate for 1/2 hour.
Preheat the BBQ for high heat.
Lightly oil the cooking grate. Drain chicken, and discard marinade. Place chicken on hot barbecue and cook for 6 to 8 minutes on each side, or until juices run clear.