Pat the salmon dry with paper towels, cut into small pieces, then chop finely with a knife until it looks like coarse mince. Don't over-process it into a paste.
Add the chopped salmon to a mixing bowl with the egg, Greek yogurt, panko, dill, green onion, Dijon mustard, lemon zest, lemon juice, salt, and pepper. Mix gently with a fork just until combined.
Divide the mixture into 8 portions, about 75 g each, and shape into patties roughly 6 cm / 2.5 inches wide and 2 cm / 3/4 inch thick.
Place the patties on a sheet pan and chill in the fridge for 15 minutes so they firm up and hold together better.
Heat 1 tbsp olive oil in a 12-inch nonstick skillet over medium heat. Add 4 patties, leaving space between them, and cook for 3 to 4 minutes until deep golden on the bottom.
Flip carefully with a fish spatula and cook another 3 to 4 minutes, until golden on the second side and the internal temperature reads 145°F / 63°C.
Transfer the cooked patties to a plate. Wipe out the skillet, add the remaining 1 tbsp olive oil, and repeat with the remaining 4 patties.
Serve warm with lemon wedges and a scattering of extra dill.