Preheat your oven to 400°F (200°C). Peel the potatoes and cut them into 1-inch thick wedges. Rinse under cold water and pat dry thoroughly with a clean kitchen towel.
In a large bowl, whisk together the lemon juice, olive oil, minced garlic, oregano, salt, and pepper. Add the potato wedges and toss well to coat evenly.
Transfer the potatoes and all the marinade to a 9x13-inch baking dish. Spread them in a single layer. Pour the broth around the potatoes (not over them) to keep the tops crispy.
Bake uncovered for 30 minutes, then flip the potatoes with a spatula. Continue baking for another 20-25 minutes until the potatoes are golden brown and tender when pierced with a fork, and most of the liquid has been absorbed.
Remove from the oven and let rest for 5 minutes. Sprinkle with crumbled feta cheese and fresh parsley. Serve directly from the baking dish.