Rinse and pat dry 4 lbs chicken. Trim excess fat or skin.
In a bowl, mix 4 cloves garlic, 2 tbsp lime juice, 2 tbsp olive oil, 1 tsp smoked paprika, 1 tsp cumin, 1 tsp oregano, 1 ½ tsp salt, and ½ tsp pepper. Rub onto the chicken. Marinate for 1-24 hours.
Wash 1 cup cilantro and pat dry. Blend with 1 jalapeño, 1 clove garlic, ½ cup mayonnaise, 2 tbsp lime juice, and 2 tbsp olive oil. Add salt and pepper. Chill sauce.
Wash and peel 3 large potatoes. Cut into fries. Toss with 3 tbsp avocado oil, salt, and pepper. Roast at 425°F for 25-30 minutes or fry until golden.
Preheat grill to medium-high. Cook chicken for 6-8 minutes per side until the internal temperature reaches 165°F. Let rest for 5 minutes.
Serve chicken and fries with creamy green sauce.