Place the chicken, potatoes, and carrots into the base of your slow cooker.
In a separate bowl, whisk together melted butter, minced garlic, Italian seasoning, salt, pepper, and chicken broth until combined.
Drizzle the garlic butter mixture evenly over the chicken and vegetables, then gently toss to ensure everything is coated.
Cover the slow cooker with its lid and cook on LOW heat for 6 to 7 hours, or choose HIGH heat and cook for 3 to 4 hours.
Once cooking is complete, sprinkle with chopped parsley if you like and serve the hearty meal warm.