Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper or lightly grease it with cooking spray.
In a mixing bowl, combine the softened butter, minced garlic, parsley, dill, chives, lemon zest, Dijon mustard, salt, and pepper. Use a fork or spatula to mix until well combined. Set aside.
Pat the salmon fillets dry with paper towels. Place the fillets skin-side down on the prepared baking sheet. Drizzle a tablespoon of olive oil over the salmon and rub it gently to coat evenly.
Generously spread the herb butter mixture over the top of each salmon fillet, ensuring each is completely coated for maximum flavor.
Place the baking sheet in the preheated oven and bake for 12-15 minutes, or until the salmon is cooked through and flakes easily with a fork.
Once done, remove the salmon from the oven and let it rest for a minute. Serve the herb butter crusted salmon with lemon wedges on the side.