01 - Generously season both sides of each chicken breast with salt and freshly ground black pepper, ensuring even coverage.
02 - Place the seasoned chicken breasts in a single layer at the bottom of the slow cooker.
03 - In a large mixing bowl, combine crushed tomatoes, diced tomatoes, finely chopped onion, minced garlic, tomato paste, dried oregano, dried thyme, sugar, red pepper flakes, and olive oil. Mix thoroughly until all ingredients are well incorporated.
04 - Pour the tomato mixture evenly over the chicken breasts, ensuring each piece is coated with sauce.
05 - Cover and cook on LOW setting for 6 hours or HIGH setting for 4 hours, until chicken reaches an internal temperature of 165°F and is fork-tender.
06 - During the final 30 minutes of cooking, stir in the chopped fresh basil. If preparing the creamy version, add the heavy cream or half-and-half at this time and stir to combine.
07 - Taste the sauce and adjust seasoning with additional salt or pepper if needed. Serve hot, garnished with extra fresh basil leaves and Parmesan cheese. Pair with pasta, rice, polenta, or crusty bread.