Pat the salmon fillet dry with a paper towel and season with salt and pepper.
Heat a nonstick skillet over medium-high heat and add 1 tsp of olive oil. Once the oil is shimmering, place the salmon fillet skin-side down and sear for about 3-4 minutes until a golden crust forms.
Flip the salmon and cook for an additional 3-4 minutes until just cooked through. Remove from the skillet and let rest.
For the sweet potato mash, peel and cube the sweet potato. Boil in lightly salted water until tender, about 10-12 minutes. Drain and mash until smooth, adding a pinch of salt if desired.
In another pan, heat the remaining 1 tsp of olive oil over medium heat. Add minced garlic and sauté until fragrant, about 30 seconds.
Add the green beans to the pan and sauté with the garlic for about 4-5 minutes until tender-crisp. Season with salt and pepper to taste.
Plate the dish by spooning a portion of sweet potato mash, placing the seared salmon on top or adjacent, and arranging the garlic green beans on the side. Serve warm and enjoy.