01 - Preheat grill or oven to 400°F.
02 - Pat chicken dry and rub thoroughly with olive oil, smoked paprika, garlic powder, onion powder, salt, and black pepper.
03 - Grill chicken 6-8 minutes per side, or roast on lined baking sheet for 20-25 minutes until internal temperature reaches 165°F. Let rest 5 minutes.
04 - Whisk together mayonnaise, apple cider vinegar, lemon juice, horseradish, Dijon mustard, sugar, garlic powder, black pepper, and cayenne until smooth. Season with salt to taste.
05 - Combine shredded cabbage, mayonnaise, apple cider vinegar, salt, and pepper in a bowl. Mix until evenly coated.
06 - Chop rested chicken into bite-sized pieces. Toss with half the Alabama white sauce until evenly coated.
07 - Pile sauced chicken onto toasted buns. Top generously with slaw. Drizzle with additional sauce if desired and add pickles for extra tang.
08 - Serve immediately while warm.