In the bottom of a large mixing bowl, lightly beat the egg. Add the drained salmon to the bowl. Add the bread crumbs, Greek yogurt, Dijon, white vinegar, onion powder, garlic powder, and cayenne.
With a fork, lightly mix to combine, breaking apart the salmon further. Gently stir in the parsley.
Scoop the mixture by 1/3 cupfuls and shape into 6 patties that are about a 1/2 inch thick. Arrange on a plate.
In a large cast-iron or similar sturdy-bottomed skillet, heat 1 tablespoon of the oil over medium. Swirl to coat.
Brown the patties on both sides, until the outsides are very deep golden brown and the patties are cooked through, about 5 to 6 minutes total. When flipping the patties, be very gentle and use a long, flexible spatula, such as a fish spatula. Serve topped with Greek yogurt, a squeeze of lemon, and a sprinkle of fresh parsley. Enjoy!
Notes
TO STORE: Uncooked salmon patties can be refrigerated for up to 1 day. Individually wrap each patty and store it in an airtight container. Cooked salmon patties can be refrigerated for up to 2 days.
TO REHEAT: Reheat gently in a lightly oiled skillet on the stove. I like to splash a little water in the skillet with the salmon, then cover it to lock in moisture and help the patties steam and prevent them from drying out.
TO FREEZE: Cooked salmon patties can be frozen for up to 3 weeks. Let thaw in the refrigerator, then reheat on the stovetop as directed above.