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 pepper.
03 - Grill chicken for 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, prepared horseradish, Dijon mustard, sugar, garlic powder, black pepper, cayenne pepper, and salt until smooth and creamy.
05 - Combine shredded cabbage, mayonnaise, apple cider vinegar, salt, and pepper in bowl. Toss until evenly coated.
06 - Chop rested chicken into bite-sized pieces. Toss with half of the Alabama white sauce until thoroughly coated.
07 - Pile sauced chopped chicken generously onto each toasted bun. Top with generous portion of slaw. Drizzle additional white sauce if desired. Add pickles for extra tang.
08 - Serve immediately while warm.