Season chicken thighs with salt, pepper, garlic powder, thyme, and oregano. Drizzle with olive oil, mix well, and set aside.
Preheat the oven to 415°F (or air fryer to 400°F).
Parboil the potato chunks in salted water until just tender, about 5-7 minutes. Drain well.
Mix the dressing for the potatoes by combining lemon zest, lemon juice, olive oil, oregano, chili flakes, salt, and honey.
Toss the potatoes with half the dressing and spread them on a baking sheet. Roast for 20 minutes, then stir, add more dressing, and finish roasting until golden and crisp, about 20 more minutes.
Cook the marinated chicken in a skillet over medium-high heat until browned and fully cooked, about 6-7 minutes per side.
Arrange the chicken and potatoes on plates, drizzle with the remaining dressing, and sprinkle with feta cheese.