Preheat the air fryer to 400°F (200°C) and lightly grease the basket. Wash, dry, and cut the potatoes into even 1-inch chunks.
In a large bowl, whisk together the olive oil, lemon juice, lemon zest, garlic, Greek seasoning, oregano, salt, and pepper. Add the potatoes and toss until evenly coated.
Using tongs, transfer the potatoes to the air fryer basket, leaving the leftover lemon-oil mixture in the bowl. Air fry at 400°F for 10 minutes.
Return the potatoes to the bowl and toss again in the reserved mixture. Air fry for another 8–10 minutes, shaking the basket once or twice, until golden brown and fork-tender.
Transfer to a serving bowl and top with fresh parsley, a squeeze of lemon, and feta or olives if desired. Serve hot.