Place the chicken breasts in the bottom of the slow cooker. Pour the diced tomatoes with their juices and the chicken broth over the top.
Sprinkle the dried basil, garlic powder, salt, and pepper evenly over the chicken and liquid. Add the cubed cream cheese on top.
Cover and cook on low for 5 hours until the chicken is tender.
Remove the chicken, shred or cut it into bite-size pieces, and return it to the slow cooker.
Stir in the uncooked rice and grated parmesan cheese until everything is combined. Cover and cook on high for 30 minutes until the rice is tender.
Stir well before serving. Garnish with fresh basil leaves if desired.