Prepare the marinade by whisking together soy sauce, lime juice, minced garlic, cumin, paprika, oregano, vegetable oil, and black pepper.
Rub the marinade thoroughly over the chicken, including under the skin. Refrigerate for at least 4 hours.
Preheat oven to 425°F (220°C).
Place the chicken on a roasting rack in a rimmed baking sheet and roast for 50 to 60 minutes until the internal temperature reaches 165°F (74°C).
While the chicken roasts, combine cilantro, jalapeños, mayonnaise, sour cream, lime juice, and salt in a blender.
Process until the sauce is completely smooth; cover and refrigerate until serving.
Allow the chicken to rest for 10 minutes before carving, then serve with the green sauce.