Preheat the oven to 425°F (220°C) to roast the broccoli.
In a small bowl, whisk together sesame oil, honey, soy sauce, grated ginger, and minced garlic to create the glaze.
Place the salmon fillet on a lined baking sheet, and brush generously with half of the glaze.
In a separate bowl, toss the broccoli with a drizzle of sesame oil, salt, and pepper if desired. Spread on another baking sheet.
Roast the broccoli in the preheated oven for about 12-15 minutes until edges are crispy.
Place the glazed salmon in the oven during the last 10 minutes of the broccoli's roasting time, cooking until the salmon is just cooked through.
Remove the salmon and broccoli from the oven, drizzle any remaining glaze over the salmon, and sprinkle with sesame seeds.
Serve immediately and enjoy this flavorful, nutritious dish.