Preheat the oven to 400 degrees F (200 degrees C).
Heat a skillet over medium-high heat and add olive oil.
Season the duck breasts with salt and pepper on both sides, then place them in the heated skillet, skin side down.
Cook for 5 minutes on each side until the skin is crispy and golden brown.
Transfer the duck breasts to a baking dish and bake in the oven for 10 minutes.
While the duck is baking, melt butter in the skillet used to cook the duck.
Add honey, orange juice, orange zest, Dijon mustard, and minced garlic to the skillet and whisk until well combined.
Let the sauce simmer for 5 minutes until it thickens.
Remove the duck breasts from the oven and let them rest for 5 minutes.
Slice the duck breast into thin slices and serve with the orange sauce.
Season with salt and pepper to taste.