Preheat your oven to 400°F (200°C).
Place the asparagus on a baking sheet, drizzle with 0.5 tbsp of olive oil, and season with a pinch of sea salt and black pepper.
Roast the asparagus for 12-15 minutes until tender and slightly charred at the tips.
While the asparagus roasts, season the chicken breast with the remaining sea salt and black pepper.
Heat the remaining 0.5 tbsp of olive oil in a skillet over medium-high heat and sear the chicken for 6-7 minutes per side until golden and cooked through.
Remove the chicken from the skillet and set aside; lower the heat to medium.
Add the minced garlic to the skillet and sauté for 30 seconds until fragrant.
Whisk in the coconut milk, lemon juice, and lemon zest, scraping up any browned bits from the pan.
Simmer the sauce for 2-3 minutes until it thickens slightly, then stir in the fresh dill and parsley.
Plate the chicken and asparagus, then pour the creamy lemon-herb sauce over the chicken before serving.