In a small bowl, stir together the smoked paprika, garlic powder, onion powder, thyme, oregano, salt, pepper and cayenne.
Pat the cod fillets dry with paper towels. Rub each fillet all over with olive oil.
Press the seasoning onto the top, bottom and sides of each fillet.
Preheat the air fryer to 400°F for 3 minutes. Spray the basket with oil or line it with perforated parchment.
Place the fillets in a single layer with space between them. Air fry at 400°F for 10 to 12 minutes, without flipping, until the thickest part reads 145°F and the fish flakes easily with a fork. Thinner fillets need 7 to 10 minutes.
Rest 2 minutes, squeeze lime over the top and serve.