Add all of the ingredients to a large bowl and combine. I use my hands for this part since I will have to use them to make the patties in the next step anyway.
Form the patties. This recipe should make about 10-12 small to medium-sized patties. If they are too thick, they will be harder to flip and easier to break apart.
Preheat a large skillet over medium heat. Add a couple of tablespoons of olive oil or butter for frying. Once it is hot enough to make a sizzle, but not burn the butter, it is time to start cooking. Place the salmon patties into the hot skillet.
Turn the heat down to medium-low and let them cook for 2 to 3 minutes. You want them to be nearly cooked through before flipping or they may fall apart.
Give them a flip and let them cook for 2 to 3 minutes on the other side. The goal is golden, crispy patties.
Remove from the skillet and place on a plate lined with paper towels.
Notes
You can refrigerate the patties for half an hour before cooking to firm them up and make them easier to transfer to the skillet.
If your heat is too high, the butter may burn. You can use olive or avocado oil to avoid the risk of burned butter, but butter adds so much flavor.
To keep the patties from sticking, I like to use a well-seasoned cast iron skillet with a lot of oil or butter. These salmon burgers are like pancakes - the less you have to flip them, the better.
To save time, you can form the patties ahead of time and fry them right when you need them.
If you form the patties too thick, they will be difficult to flip, will take longer to cook, and are more likely to fall apart.