Preheat the oven to 400°F and line a baking sheet with parchment paper.
Place the chicken wingettes in a large bowl. Add the olive oil, smoked paprika, garlic powder, salt, and black pepper. Toss until each piece is evenly coated.
Arrange the wingettes in a single layer on the baking sheet, spreading the ends apart so they resemble bat wings once cooked.
Bake for 35 minutes, flipping the wings halfway through.
Remove the baking sheet from the oven and brush both sides of each wingette generously with barbecue sauce.
Return the wings to the oven for 10 more minutes until the sauce is set and the edges are slightly crisp.
Let the wings rest for 5 minutes before transferring to a serving platter.