Finely chop the skinless salmon fillet into very small pieces using a sharp knife until it reaches a ground consistency.
In a medium bowl, combine the chopped salmon, beaten egg, almond flour, Dijon mustard, lemon zest, and half of the sea salt and black pepper.
Form the salmon mixture into two equal-sized patties, pressing firmly so they hold their shape during cooking.
In a small ramekin, whisk together the Greek yogurt, lemon juice, garlic powder, and the remaining sea salt and black pepper to create the zesty aioli.
Heat the avocado oil in a non-stick skillet over medium-high heat until the oil is shimmering and hot.
Place the patties in the skillet and sear for 3 to 4 minutes per side until a golden-brown crust forms and the center is just cooked through.
Arrange the fresh arugula on a plate, top with the crispy salmon burgers, and finish with a generous dollop of the lemon aioli.