Preheat the oven to 375°F.
In a bowl, mix the butter, garlic, chives, parsley, and thyme.
Season the salmon with salt and pepper. Then top the salmon with the herb butter mixture, coating it very well. Sprinkle with lemon zest and red pepper flakes (if using).
Bake the salmon on a foil-lined baking tray for 8-10 minutes, to an internal temperature of 140°F using a thermometer. (Baking time will vary based on your fish fillet thickness.)
In a bowl, whisk together the ingredients for the horseradish cream. Season with salt and pepper to taste.
Drizzle the salmon with horseradish cream and serve with dinner rolls.