In a large skillet, add a splash of water and bring to a simmer. Place the salmon fillet in the skillet, cover, and poach for about 8-10 minutes until cooked through. Remove from skillet and let it cool, then flake it into smaller pieces with a fork.
In a large mixing bowl, combine the flaked salmon, breadcrumbs, chopped dill, green onions, minced garlic, beaten egg, mayonnaise, Dijon mustard, lemon zest, and lemon juice. Season with salt and pepper to taste.
Using your hands, form the mixture into small patties about 3 inches in diameter, and place them on a plate.
Refrigerate the formed salmon cakes for at least 30 minutes. This helps them to hold together while frying.
In a large skillet, heat the olive oil over medium heat. Once hot, carefully add the salmon cakes to the skillet in batches, avoiding overcrowding. Fry for about 4-5 minutes per side or until golden brown and crispy.
Once cooked, transfer the salmon cakes to a plate lined with paper towels to drain any excess oil.
Serve the lemon dill salmon cakes hot with a wedge of lemon and a dollop of extra mayonnaise or a yogurt dill sauce on the side.
Notes
Chilling the cakes helps them hold together while frying.