Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Wash the sweet potato thoroughly. Cut it into wedges ensuring even sizes for uniform roasting.
Place the sweet potato wedges on the baking sheet. Drizzle half the olive oil over them, season with salt and pepper, and toss to coat evenly.
In a small bowl, mix the balsamic vinegar with a dash of salt and pepper.
Place the salmon fillet on a separate lined baking tray. Brush the entire fillet with the balsamic mixture, allowing it to marinate briefly while the oven heats up.
Add the green beans to the baking sheet with the sweet potato wedges. Drizzle with the remaining olive oil, season lightly with salt and pepper, and toss to coat.
Roast the sweet potatoes and green beans in the preheated oven for about 20 minutes.
Simultaneously, place the salmon in the oven. Bake the salmon for 12-15 minutes, or until it flakes easily with a fork and has developed a rich glaze.
Once all components are cooked, plate the salmon fillet alongside the roasted sweet potato wedges and crispy green beans.
Serve immediately and enjoy a beautifully balanced meal.