Preheat your grill to medium heat, around 350°F (175°C).

In a large mixing bowl, combine halved baby potatoes with melted unsalted butter, minced garlic, salt, black pepper, and paprika. Toss until coated.

Cut an 18-inch piece of aluminum foil, scoop the potato mixture into the center, and seal tightly to create a packet.

Place the foil packet on the grill. Grill for 20-25 minutes, turning every 5 minutes for even cooking.

Check for doneness at 20 minutes. If needed, reseal and return to grill for an additional 5-10 minutes.

Open the packet carefully. Sprinkle with fresh parsley if desired. Serve immediately.