In a large bowl, combine the chicken, onion, garlic, salt, paprika, and several grinds of black pepper. Use a spoon to stir it all together, then divide the mixture into 4 even sections so you can form patties.
Get your hands wet to make the mixture easier to work with (it doesn't stick to wet hands) and form a burger patty by pressing it between your hands. Repeat with the remaining mixture until you have 4 evenly sized patties that are about 1 inch thick.
Grease a 12-inch skillet with olive oil, then place it over medium-high heat on the stove. Arrange all 4 chicken burgers on the skillet and let them cook for 5 minutes. Flip the burgers over and cook on the other side for 4 to 5 minutes, or until the burgers reach an internal temperature of 165ºF when checked with a thermometer. (You can also just cut one in half to make sure it's not pink in the middle.)
Serve the cooked burgers warm, with your favorite toppings. You can use a bun or lettuce wrap! Cooked burgers will keep well in the fridge for up to 3 days in an airtight container, or you can freeze them for up to 3 months.