Step 1: Prepare the Salmon - Pat the salmon fillets dry with paper towels and season both sides with salt and pepper.
Step 2: Make the Glaze - In a mixing bowl, whisk together the brown sugar, Dijon mustard, lemon zest, and minced garlic until well combined.
Step 3: Heat the Skillet - Place a non-stick skillet over medium-high heat and let it warm up.
Step 4: Cook the Salmon - Add the salmon fillets, skin-side down if applicable, and cook for about 4-5 minutes without moving them.
Step 5: Add the Glaze - Generously apply the brown sugar glaze over the salmon and cook for an additional 3-4 minutes.
Step 6: Garnish and Serve - Remove the salmon from the skillet, sprinkle with parsley if desired, and serve immediately.