Preheat oven to 400°F (200°C) and line a baking sheet with parchment paper.
In a small mixing bowl, whisk together the honey, Dijon mustard, whole grain mustard, olive oil, minced garlic, lemon juice, salt, and black pepper.
Arrange the salmon fillets on the prepared baking sheet with the skin-side down.
Generously brush the honey mustard glaze over the top and sides of each salmon fillet.
Bake for 10 to 12 minutes, or until the salmon reaches an internal temperature of 145°F (63°C) and flakes easily with a fork.
Remove from oven and garnish with fresh chopped parsley before serving.