Peel and cube the sweet potato, then boil in a pot of water until tender, about 12-15 minutes.
Drain the sweet potatoes and mash them until smooth, seasoning with a pinch of sea salt if desired.
While the potatoes boil, trim the ends of the green beans and mince the garlic.
Heat half of the olive oil in a non-stick skillet over medium-high heat.
Season the salmon with salt and pepper, then place it skin-side down in the hot pan.
Sear the salmon for 4-5 minutes until the skin is crispy, then flip and cook for another 3 minutes until just opaque.
Remove the salmon from the pan and set aside to rest.
In the same pan, add the remaining oil, green beans, and minced garlic.
Sauté the beans for 4-5 minutes until bright green and tender-crisp.
Plate the salmon alongside the sweet potato mash and sautéed green beans, serving immediately.