Prepare the Herb Butter: In a mixing bowl, combine the softened butter, parsley, dill, chives, lemon zest, minced garlic, Dijon mustard, salt, and pepper. Mix thoroughly until all ingredients are well incorporated.
Preheat the Oven: Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper or lightly grease it with cooking spray.
Season the Fish: Rinse the fish filets under cool water and pat them dry with paper towels. Season both sides with salt and pepper.
Place on Baking Sheet: Arrange the fish filets on the prepared baking sheet, leaving space between each piece.
Spread the Herb Butter: Generously spread the herb butter mixture over the top of each fish filet.
Drizzle with Olive Oil: Lightly drizzle olive oil over the fish filets to help with browning.
Bake the Fish: Place the baking sheet in the preheated oven and bake for about 15-20 minutes, or until the fish flakes easily with a fork.
Serve: Remove the fish from the oven. Serve immediately with lemon wedges on the side.