Season the chicken breast evenly with sea salt on both sides.
Place the cracked peppercorns on a flat plate and press the chicken firmly into them to create a thick crust.
Heat the ghee in a stainless steel or cast iron skillet over medium-high heat until shimmering.
Carefully place the chicken in the pan and sear for 6 to 8 minutes per side until the internal temperature reaches 165°F.
Remove the chicken from the pan and let it rest on a plate, tented with foil.
In the same skillet, add the minced shallots and garlic, sautéing for 1-2 minutes until translucent and aromatic.
Pour in the chicken bone broth to deglaze the pan, using a wooden spoon to scrape up the flavorful browned bits from the bottom.
Whisk in the full-fat coconut milk and simmer for 3-4 minutes until the sauce reduces and achieves a silky consistency.
While the sauce simmers, steam the asparagus spears for 4 minutes until they are bright green and tender-crisp.
Plate the chicken, spoon the peppercorn cream sauce generously over the top, garnish with fresh parsley, and serve with the asparagus.