Preheat your oven to 375°F (190°C) to prepare for baking.
In a medium mixing bowl, combine the halved cherry tomatoes, chopped basil leaves, minced garlic, balsamic vinegar, dried oregano, and olive oil. Season with salt and pepper to taste. Mix everything thoroughly and let this mixture marinate for 10-15 minutes.
While the tomatoes are marinating, season each chicken breast generously with salt and pepper. Arrange the seasoned chicken breasts in a single layer within a baking dish.
Spoon the marinated tomato mixture evenly over the chicken breasts, ensuring they are well-covered.
Sprinkle the shredded mozzarella cheese evenly over each chicken breast.
Sprinkle the grated Parmesan cheese over the mozzarella cheese.
Place the baking dish in the preheated oven and bake for 25-30 minutes, or until the chicken is thoroughly cooked and the cheese is melted and bubbly.
Carefully remove the dish from the oven and let it rest for a few minutes before serving.
Notes
Serve hot, garnished with fresh basil leaves and a drizzle of balsamic reduction for an elegant presentation.