Preheat oven to 450°F. Lightly spray a baking dish with nonstick cooking spray.
If the chicken breasts are not an even thickness, pound or slice them so they are uniform in size and thickness. Pat the breasts dry with paper towels.
Beat 1 large egg in a shallow dish.
In a separate shallow dish combine 1 cup Italian breadcrumbs, ½ teaspoon smoked paprika, ½ teaspoon ground black pepper, ½ teaspoon onion powder, ½ teaspoon garlic powder, and 1 teaspoon kosher salt; stir to combine.
Dip each chicken breast first into the beaten egg, letting any excess drip off, then press both sides into the breadcrumb mixture to coat. Arrange the coated breasts in a single even layer in the prepared baking dish without overlapping.
Bake uncovered at 450°F for 15–20 minutes, until the coating is golden and crisp. Do not turn the chicken.
Pour ¾ cup barbecue sauce evenly over the chicken breasts.
Return the dish to the oven and bake 5–10 minutes more, until the sauce is bubbly and the chicken is cooked through (internal temperature 165°F). Remove from oven and let rest a few minutes before serving.