01 - In a large mixing bowl, gently fold together the flaked salmon, panko breadcrumbs, eggs, mayonnaise, Dijon mustard, minced garlic, lemon zest, lemon juice, chopped parsley, sliced green onions, salt, and pepper until just combined. Avoid overmixing to keep the texture tender.
02 - Divide the mixture and form into 8 small patties (or 4 larger ones), pressing firmly so they hold their shape. Arrange on a plate, cover with plastic wrap, and refrigerate for at least 10 minutes to firm up before cooking.
03 - Heat olive oil in a large skillet over medium heat. Carefully place the chilled salmon cakes in the pan and cook for 3 to 4 minutes per side until golden brown and heated through. Transfer to a paper towel-lined plate to drain excess oil.
04 - While the cakes rest, whisk together the mayonnaise, finely minced garlic, lemon juice, lemon zest, salt, and pepper in a small bowl until smooth. Taste and adjust seasoning as needed.
05 - Arrange the warm salmon cakes on a serving platter and top each with a generous dollop of the lemon garlic aioli. Garnish with extra lemon wedges on the side.