Peel and cube the sweet potato, then boil in a pot of salted water for about 10-12 minutes until fork-tender.
Drain the sweet potato and mash thoroughly with half of the ghee and a pinch of salt until the texture is smooth and creamy.
Pat the salmon fillet dry with paper towels and season both sides with sea salt and cracked black pepper.
Heat the remaining ghee in a large cast-iron or non-stick skillet over medium-high heat.
Place the salmon in the skillet, skin-side down, and sear for 4-5 minutes until the skin is golden and crispy.
Carefully flip the salmon and cook for an additional 2-3 minutes until the fish is just opaque and flakes easily.
Remove the salmon from the pan and set aside to rest.
In the same skillet, add the green beans and minced garlic, sautéing for 4-5 minutes until the beans are tender-crisp and the garlic is fragrant.
Plate the sweet potato mash, top with the seared salmon, and serve the garlic green beans on the side.