Place the chicken breasts at the bottom of the Crock Pot.
In a separate bowl, combine chicken broth, sun-dried tomatoes, fresh basil, Parmesan cheese, heavy cream, minced garlic, dried oregano, salt, and pepper. Mix well.
Pour the mixture over the chicken breasts.
Cover and cook on low heat for 6-7 hours or on high heat for 3-4 hours, or until the chicken is tender and cooked through.
Serve the Marry Me Chicken over cooked pasta or with a side of crusty bread to soak up the delicious sauce.