Pour about 1/3 of the BBQ sauce into the bottom of a slow cooker. Lay chicken breast on top and pour remaining sauce on top. Cook on low for 7-8 hours or until chicken shreds easily with a fork.
Remove chicken from slow cooker, shred with a fork, then return to slow cooker and toss with remaining sauce.
Pre-heat oven to 400 degrees.
If desired, toss sweet potatoes with olive oil and sprinkle with Italian Seasoning. Arrange in a single layer on a baking sheet. Bake for 20 minutes.
Add broccoli to a microwave safe bowl. Cover with a very damp paper towel and microwave for 3-4 minutes or until tender crisp.
Divide pulled chicken, sweet potatoes, and broccoli into 4 containers.