Add the salmon to a food processor and pulse until it is finely minced. If you don't have a food processor, you can finely mince the salmon with a knife instead.

Transfer the minced salmon to a bowl, then add the chives, parsley, garlic, salt, pepper, egg, and breadcrumbs and mix to combine.

Add the ghee or olive oil to a large skillet over medium heat, then form the salmon mixture into four equally-sized patties.

Add the salmon patties to the skillet and cook for about 4 minutes, until browned, then flip the patties and cook for another 3-4 minutes, until browned, then remove from heat.

To make the sauce, add all of the ingredients to a blender and blend until smooth.

To serve, place each patty on a hamburger bun, top it with the sauce and butter lettuce, then serve!