Preheat oven to 350°F (177°C).
Warm olive oil and butter in a small saucepan over medium-low heat. Add shallots and cook until softened, about 3-4 minutes.
Add garlic and cook 30 seconds until fragrant.
Remove from heat, add wine, lemon zest, lemon juice, marmalade, oregano, thyme, and a pinch of salt. Stir to combine.
Pour mixture into a 9×13-inch baking dish, spreading shallots evenly.
Place chicken breasts skin side up over the sauce. Brush with olive oil and season liberally with salt and pepper.
Tuck lemon wedges between chicken pieces.
Bake 40-45 minutes until chicken reaches 165°F (74°C) and skin is lightly browned.
Remove from oven and rest for 10 minutes before serving.
Serve with pan juices and optional garnishes.