Place the chicken breasts in the slow cooker. Pour in the chicken broth and sprinkle the ranch seasoning mix over the top.
Add the cubed cream cheese on top of the chicken. Cover and cook on low for 6 hours.
While the chicken cooks, fry the bacon in a skillet until crisp. Drain on paper towels and crumble into small pieces. Set aside.
After 6 hours, shred the chicken directly in the slow cooker with two forks and stir to combine with the sauce.
Cut each biscuit into four pieces and gently stir them into the slow cooker. Cover and cook on high for 1 hour, or until the dumplings are cooked through.
Stir in the crumbled bacon and sliced green onions just before serving.