01 - Set grill to medium-high heat, approximately 400°F.
02 - In a large bowl, toss halved potatoes with olive oil, garlic powder, smoked paprika, dried thyme, sea salt, and black pepper until evenly coated.
03 - Thread seasoned potatoes onto skewers or arrange in a grill basket for uniform cooking.
04 - Grill potatoes for 25 to 30 minutes, turning every 7 to 8 minutes, until exteriors are crisp and charred and interiors are fork-tender.
05 - Transfer grilled potatoes to a serving platter and sprinkle with chopped parsley and Parmesan cheese, if using, while still warm.
06 - Serve immediately as a side to your preferred grilled main dish.