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