Whisk together soy sauce, lime juice, garlic, cumin, paprika, oregano, and black pepper.
Place chicken in a roasting pan or resealable bag and coat thoroughly with the marinade. Refrigerate for at least 4 hours.
Preheat oven to 425 degrees Fahrenheit (218 degrees Celsius).
Roast the chicken for 1 hour to 1 hour 20 minutes until the internal temperature reaches 165 degrees Fahrenheit (74 degrees Celsius).
Prepare sauce by blending mayonnaise, cilantro, jalapeños, lime juice, and salt until smooth.
Rest chicken for 10 minutes before carving and serve with the green sauce.