Combine shredded chicken, cheddar, Parmesan, almond flour, garlic, parsley, onion powder, smoked paprika, salt and pepper in a large bowl.
Add beaten eggs and (optional) psyllium; mix until evenly combined. Test a small amount — it should hold when pressed. Adjust with a little more almond flour (if wet) or a teaspoon of water (if dry).
Divide into 12 equal portions; shape into patties about 2–2.5 inches wide and ½ inch thick.
Heat 2 tbsp olive oil in a skillet over medium. Fry fritters in batches for 3–4 minutes per side until golden and cheese is melted. Drain briefly on paper towels. OR bake at 400°F for 10–12 minutes, flip, bake another 8–12 minutes until golden.
Serve warm with your favorite keto dipping sauce and a squeeze of lemon or lime.