In a large bowl, place salmon fillets; add next 8 ingredients (coconut milk through green onion);mix well. Cover bowl and let sit overnight in the refrigerator, or at room temperature for 1 hour.
Preheat grill pan or skillet to MEDIUM-HIGH. Brush grill pan with ghee; season asparagus with sea salt, pepper, and olive oil and place directly on grill pan for 3 to 4 minutes, or until tender;remove and set aside. Place seasoned salmon on grill pan and cook for 2 to 3 minutes per side,or until the fish reaches the desired doneness; remove from grill pan, pair with asparagus and serve.