Preheat the oven to 400°F (200°C). Line a baking sheet with foil and place a wire rack on top, then lightly spray the rack with olive oil.
Pat the drumsticks dry with paper towels.
In one shallow bowl, combine the flour and dried oregano.
In a second bowl, beat the eggs until smooth.
In a third bowl, mix the panko breadcrumbs with dried basil, garlic powder, onion powder, smoked paprika, salt, and black pepper.
Working one at a time, dredge each drumstick in the flour mixture, then dip into the beaten eggs, and press firmly into the breadcrumb mixture to coat evenly.
Arrange the breaded drumsticks on the prepared rack. Lightly spray the tops with olive oil cooking spray.
Bake for 45 minutes, turning once halfway through, until the internal temperature reaches 165°F (74°C) and the crust is golden and crisp.
