Wash potatoes and cut them into thick long wedges. Place in a large pot of cold water and let soak for 3 minutes. Drain, rinse well, and fill the pot back up with cold water, making sure to cover the potatoes by at least 2 inches. Add 1 teaspoon of salt to the water and stir well.
Place the pot with the potatoes over a high heat burner. Bring the water to a boil. Let the potatoes boil for 8 minutes.
Drain the water from the potatoes and place them on a cutting board to let them dry completely.
In a large mixing bowl, combine ground black pepper, garlic powder, onion powder, Italian seasoning, smoked paprika, salt, lemon juice, ground mustard, and olive oil. Use a whisk to mix.
Add the potatoes to the bowl and gently toss in the olive oil marinade.
Heat your grill to medium heat, about 375°F, and brush the grill grate with olive oil.
Carefully place the potatoes on the grill. Close the grill cover and let cook for 5 minutes.
Lift the grill cover and use a spatula to flip each potato over to the other side. Close the grill cover and let cook for 5 additional minutes.
Remove the potatoes from the grill and place them back into the leftover olive oil marinade bowl. Pour the melted butter over the potatoes. Sprinkle 2 to 3 tablespoons of finely chopped parsley over the top of the butter and toss the potatoes gently to combine.
Serve immediately.
Notes
If the potatoes are not completely dried of all water they might steam on the grill and not give you the texture you are looking for in a grilled potato.
Grill plates can be used if your grill bars are too far apart for the small wedges.
Don’t skip oiling the grill grate as you want to make sure to keep the potatoes from sticking.
Cooking times vary depending on the thickness of your potatoes, so keep checking them as you come towards the end of the cooking time and give them an extra couple of minutes if they need it.
If you’re making these potatoes at a cookout after you take them off the grill, keep them under aluminum foil on a serving platter so that they stay nice and hot for your guests.