Prepare the Buns: Preheat your oven to 375°F (190°C). In a small bowl, combine the melted butter, minced garlic, and chopped parsley. Brush the insides of each hot dog bun with the garlic butter mixture.
Assemble the Hot Dogs: Place a slice of cheddar cheese inside each bun, then add a hot dog on top of the cheese. Arrange the assembled hot dogs in a 9×13 inch baking dish.
Add the Chili: Pour the chili evenly over the hot dogs in the baking dish, making sure to cover each hot dog completely.
Bake: Cover the baking dish with aluminum foil and bake in the preheated oven for 25 minutes. Remove the foil and bake for an additional 10 minutes, or until the cheese is melted and bubbly.
Serve: Garnish with additional fresh parsley before serving. Serve hot and enjoy your delicious Chili Cheese Dog Bake Dinner!