01 - Preheat grill or grill pan to medium-high heat.
02 - Pat chicken breasts dry. Rub with olive oil, garlic powder, salt, and pepper.
03 - Grill chicken for 6-7 minutes per side, or until cooked through and juices run clear. Remove from heat, rest for 5 minutes, and slice thinly.
04 - In a medium bowl, whisk together mayonnaise, Parmesan cheese, lemon juice, Dijon mustard, Worcestershire sauce, minced garlic, anchovy fillets, salt, and pepper until smooth. Adjust seasoning to taste.
05 - In a large salad bowl, combine chopped romaine, cherry tomatoes (if using), and croutons. Toss lightly with half the dressing.
06 - Top salad with sliced grilled chicken and shaved Parmesan. Drizzle with remaining dressing. Serve immediately.