Whisk together chicken broth, soy sauce, hoisin sauce, brown sugar, sesame seed oil, and garlic cloves.
Pour half of the sauce into a greased crockpot. Place chicken breasts in and then pour the remaining sauce over the chicken.
Cook on low for 4 hours, covered.
Mx together cornstarch and water and stir it into the crockpot.
Stir in broccoli florets.
Cook on high for 1 hour, covered.
Remove the chicken, cut into large chunks, and place back in the crockpot.
Serve immediately over rice!