Preheat your oven to 400 degrees Fahrenheit. In a large bowl, whisk the olive oil, lemon juice, garlic, oregano, salt, and pepper.
Toss the potato wedges in the mixture until well coated. Transfer them to a large metal roasting pan in a single layer.
Pour the water or broth into the corner of the pan carefully so you do not wash the seasoning off the potatoes.
Bake for 45 to 55 minutes, tossing halfway through, until the liquid is evaporated and the potatoes are golden and crispy.
Top immediately with crumbled feta cheese and fresh parsley while the potatoes are still hot.