Preheat oven to 425 degrees
To a medium bowl, add tomatoes, onion, garlic, vinegar, basil, and Parmesan cheese. Stir together and set aside.
Next, heat canola oil in large, heavy bottom skillet that can be transferred to the oven.
Meanwhile, pat chicken breasts dry with paper towels and generously season both sides with salt and pepper.
Place chicken breasts, top side down, in the skillet and cook for 4-5 minutes, without moving them, until brown.
Turn chicken top side up. Add the tomato mixture to the tops of the breasts and place skillet in oven to roast for 12-15 minutes, until chicken is cooked through.