Drain the salmon and break apart with your fingers.
Add all ingredients (except lime) to a large bowl starting with only 1 Tbsp flour and mix really really well until homogenous. If the mixture is too sticky, add another Tbsp. It should be easy to form patties without the mixture sticking to your hands (see video for consistency required).
Preheat a cast-iron skillet over medium-low heat for at least 10 minutes, then add about 2-3 Tbsp oil and wait another minute for it to be hot.
Form patties and fry for 1-2 minutes per side.
Serve with salad and drizzle lime juice over the patty.