Prepare Fresh Salmon (Optional): If using fresh salmon, poach it gently in water or steam until cooked through. Cool and flake into small pieces.
Mix Salmon: In a bowl, combine the smoked salmon, cooked fresh salmon (if using), and softened butter. Mix until well combined. For a smoother texture, you can use a fork or an electric mixer on a low setting.
Flavor: If choosing to use lemon zest, stir it into the mixture at this point. Taste and adjust the seasoning with salt and pepper if desired. Remember, the smoked salmon already adds a salty flavor.
Chill: Cover the mixture and refrigerate for at least 1 hour to allow the flavors to meld and the butter to firm up, making the rillettes spreadable.
Prepare Crispy Fish Skins: While the rillettes chill, prepare your crispy fish skins if you haven't already. These will serve as your zero-carb "crackers" for the rillettes.
Serve: Serve the salmon rillettes spread on crispy fish skins.