Cut four pieces of aluminum foil into 14-inch lengths.
Place ½ pound of the quartered baby red potatoes in the center of each packet. Drizzle each packet with 2 teaspoons of ghee. Sprinkle ¼ teaspoon of minced garlic and ¼ teaspoon of Italian seasoning over top of each. Add ½ tablespoon lemon juice and equal parts of lemon zest to each. Season with salt and pepper to taste.
Pull the foil edges together and scrunch them up to seal each packet.
To grill these packets: Preheat the grill to medium heat and place the packets directly on the grill. Close the grill cover and cook for 30-35 minutes until tender, turning the packets frequently.
To bake these packets: Place side by side on a baking sheet and bake in an oven preheated to 400 degrees until the potatoes are tender, about 15 - 20 minutes.
Carefully unwrap each packet before serving. Season with additional salt and pepper to taste.