Marinate the Chicken: In a bowl, soak the chicken breasts in buttermilk for at least 15 minutes.
Prepare the Coleslaw: In a bowl, mix shredded cabbage, mayonnaise, apple cider vinegar, honey, salt, and black pepper. Refrigerate until ready to use.
Prepare the Coating: In a separate bowl, combine flour, paprika, cayenne pepper, garlic powder, onion powder, salt, and black pepper.
Coat the Chicken: Remove the chicken from the buttermilk, letting excess drip off. Dredge the chicken in the flour mixture, ensuring an even coating.
Heat the Oil: In a large skillet, heat vegetable oil over medium-high heat until it reaches 350°F (175°C).
Fry the Chicken: Carefully place the coated chicken breasts in the hot oil. Fry for about 6 - 8 minutes per side or until golden brown and cooked to an internal temperature of 160°F (71°C).
Prepare the Buns: While the chicken is frying, lightly toast the hamburger buns.
Assemble the Sandwich: Place the fried chicken on the bun. Top with pickles and coleslaw.
Blend the Juice. Place all of the ingredients into a high-powered blender. Blend until smooth, about 1 to 2 minutes. If you need to, use your tamper to push the ingredients into the blades of your blender. Add water if needed to help blend smoothly.
Strain the juice. Pour the green juice through a fine-mesh strainer. Press on the solids with the back of a spoon to extract as much juice as possible. Discard the solids.
Chill the juice before serving.
Serve the sandwich with apples and nut butter and green juice.