Preheat oven to 425°F (220°C). Line a sheet pan with foil for easier cleanup.
Whisk 2 tbsp oil, garlic, lemon zest and juice, oregano, paprika, salt, pepper, and honey in a bowl.
Toss chicken with half the marinade; let sit 10 minutes if you have time.
Toss broccoli with remaining 1 tbsp oil and a pinch of salt.
Arrange chicken and broccoli on the sheet pan in a single layer.
Roast 18–22 minutes, until chicken reaches 165°F and broccoli is tender with browned edges.
Broil 1–2 minutes if you want extra crisping. Rest chicken 5 minutes, then serve with lemon wedges.