Preheat the oven to 400°F (200°C). Lightly grease a large sheet pan or line it with parchment paper for easy cleanup.
In a small bowl, mix together garlic powder, smoked paprika, dried rosemary, salt, and black pepper to create the seasoning.
Toss the Yukon potatoes with 1/2 tablespoon of olive oil and a pinch of salt and pepper, then spread them in an even layer on the sheet pan.
Roast the potatoes in the preheated oven for 15 minutes to give them a head start.
While the potatoes are roasting, rub each pork chop with 1/2 tablespoon of olive oil, then sprinkle the seasoning mixture evenly over both sides of the pork chops.
In a large mixing bowl, toss the broccoli with the remaining olive oil and a pinch of salt and pepper.
After 15 minutes, remove the sheet pan from the oven. Arrange the seasoned pork chops and broccoli around the potatoes, spreading everything evenly across the pan.
Return the pan to the oven and continue roasting for an additional 20-25 minutes, or until the pork chops reach an internal temperature of 145°F (63°C) and the potatoes are fork-tender.
For extra browning, broil for 2-3 minutes at the end of cooking, if desired.