Preheat the oven to 425°F.
Wash and pat dry the salmon fillet. Arrange it on a baking sheet lined with parchment paper.
Mince the garlic and squeeze the lemon wedge over the salmon. Drizzle a small amount of olive oil over it and season with salt and pepper.
Peel and cube the sweet potato into 1-inch pieces. Toss with a little olive oil, salt, and pepper, then spread on a separate baking sheet.
Trim the ends off the green beans. Toss with olive oil, salt, and pepper, and layer them on a small baking tray for roasting.
Place the sweet potatoes in the oven and roast for about 20-25 minutes until tender and slightly caramelized. Add the green beans to the oven for the last 10-12 minutes to achieve a crispy texture.
Place the salmon in the oven and bake for 12-15 minutes or until it flakes easily with a fork.
Remove all items from the oven and plate the salmon alongside the roasted sweet potatoes and crispy green beans.
Serve immediately with an extra squeeze of fresh lemon juice if desired.