Preheat the Oven: Preheat your oven to 400°F (200°C).
Prepare the Salmon: Line a baking sheet with parchment paper. Place the salmon fillets on the baking sheet and drizzle with olive oil. Season with salt and pepper.
Make the Lemon Butter Sauce: In a small saucepan, melt the butter over medium heat. Add minced garlic, lemon juice, and zest. Stir to combine and cook for 1-2 minutes until fragrant.
Roast the Broccoli: Toss the broccoli florets with olive oil, balsamic vinegar, salt, and pepper. Spread them out on the same baking sheet as the salmon.
Bake: Pour the lemon butter sauce over the salmon fillets. Bake everything in the preheated oven for about 15-20 minutes, or until the salmon is cooked through and flakes easily with a fork.
Garnish and Serve: Remove from the oven and sprinkle with fresh parsley before serving. Enjoy warm!