In a large bowl, combine the flaked salmon, breadcrumbs, chopped onion, and parsley.
Add the beaten egg, Dijon mustard, lemon juice, salt, and pepper. Mix until well combined.
Shape the mixture into patties, about 2 inches wide.
Heat olive oil in a skillet over medium heat.
Once hot, add the salmon patties to the skillet.
Cook for about 4-5 minutes until golden brown on one side.
Carefully flip the patties and cook for another 4-5 minutes on the other side.
Remove from the skillet and place on paper towels to drain excess oil.
Serve warm and enjoy your delicious salmon cakes!