In a bowl, whisk together olive oil, garlic, cumin, paprika, oregano, salt, black pepper, lime juice, and orange juice to create the marinade.

Place the chicken in a roasting pan and pour the marinade over it, ensuring it is well coated. Cover and refrigerate for at least 2 hours, preferably overnight.

Preheat the oven to 375°F (190°C).

Remove the chicken from the refrigerator and let it sit at room temperature for about 30 minutes.

Roast the chicken in the preheated oven for about 60 minutes, or until the internal temperature reaches 165°F (75°C).

Let the chicken rest for 10 minutes before carving and serving.