Preheat the oven to 400°F (200°C).
In a mixing bowl, combine olive oil, lemon juice, lemon zest, minced garlic, oregano, salt, and black pepper. Whisk until well mixed.
Add the chicken pieces to the bowl, tossing them to ensure they are evenly coated in the marinade. Let them marinate for at least 10 minutes, or up to 1 hour in the refrigerator for more flavor.
Line a baking sheet with parchment paper or aluminum foil for easy clean-up. Spread the marinated chicken bits in a single layer on the baking sheet.
Bake in the preheated oven for 20-25 minutes, or until the chicken is cooked through and slightly golden around the edges. Use a meat thermometer to ensure the internal temperature reaches 165°F (74°C).
Remove from the oven and let the chicken rest for a few minutes. Garnish with chopped parsley before serving.
For added flavor, consider drizzling a bit more lemon juice over the chicken just before serving.
Serve with a side of steamed vegetables or over a bed of rice for a complete meal.