Check chicken fits an 8-quart or larger air fryer at least 1 inch from element. Pat dry inside and out; do not rinse. Preheat to 360°F for 3 minutes.
Rub oil, salt, paprika, garlic powder, thyme, and pepper over bird, including back and leg folds. Tuck wing tips beneath shoulders.
Air fry breast-side down 30 minutes. Carefully turn breast-side up with sturdy tongs and wide spatula.
Cook 25 to 35 minutes more until thickest breast and innermost thigh each reach at least 165°F, without touching bone. If needed, loosely cover dark patches with small secured foil.
Rest uncovered 10 minutes; carve into 4 portions.