Preheat a grill to medium high heat. Rub the chicken with olive oil, italian seasoning, and salt and pepper. Grill on each side 2-4 minutes until chicken is cooked and no longer pink. Slice the chicken and set aside.
In a large bowl add the chicken, romaine, avocado, cherry tomatoes, croutons, shaved parmesan and toss. Serve with homemade asiago dressing or store-bought dressing.