Preheat the oven to 400 degrees Fahrenheit. Cut the small gold potatoes into bite-sized pieces, toss them in olive oil, garlic powder, salt, and pepper, and roast for about 25 minutes until lightly browned.
In a medium saucepan over medium-low heat, melt the butter. Add minced garlic, shallots, and fresh thyme. Sauté for 3-5 minutes until softened. Pour in chicken broth and heavy cream, bring to a gentle simmer, and let thicken. Remove thyme, whisk in lemon juice, and stir in fresh herbs. Season with salt and pepper.
After 25 minutes, add broccoli florets and salmon filets to the baking sheet with the potatoes. Toss lightly with olive oil, sprinkle with salt and pepper, and return to the oven.
Bake for an additional 10-15 minutes until the salmon is barely past translucent and flakes easily.
Plate the salmon, potatoes, and broccoli, and generously drizzle with the lemon sauce. Garnish with extra herbs and lemon wedges.