Begin by preheating your oven to 400 degrees Fahrenheit (200°C). Prepare a baking dish by lightly coating it with cooking spray or a small amount of olive oil.
In a medium bowl, combine the lemon zest, lemon juice, lime juice, chopped parsley, chopped dill, minced garlic, olive oil, salt, and black pepper. Whisk these ingredients together until well blended to form your aromatic sauce.
Arrange the white fish fillets in a single layer within the prepared baking dish. Ensure they are not overlapping to promote even cooking.
Carefully pour the citrus-herb mixture evenly over each fish fillet, making sure each piece is coated with the flavorful sauce.
Transfer the baking dish to the preheated oven and roast for 15 to 20 minutes. The fish is ready when it flakes easily with a fork and is opaque throughout.
Once cooked, remove the dish from the oven. Serve the fish immediately, drizzling any accumulated pan juices over each serving for extra flavor.