01 - In a large bowl, combine diced chicken, mozzarella, Parmesan, eggs, Greek yogurt, flour, parsley, minced garlic, salt, pepper, and smoked paprika. Mix until just combined; avoid overmixing to maintain tender texture.
02 - Heat olive oil in a large nonstick skillet over medium heat until shimmering but not smoking.
03 - Scoop heaping tablespoons of chicken mixture into pan, flattening each slightly with spatula. Do not overcrowd. Fry for 3-4 minutes per side until golden brown and cooked through to internal temperature of 165°F. Transfer to paper towel-lined plate. Repeat with remaining mixture, adding more oil as needed.
04 - In small bowl, whisk together mayonnaise, lemon juice, garlic, Dijon mustard, parsley, salt, and pepper until smooth and fully incorporated.
05 - Arrange warm chicken fritters on serving platter with bowl of garlic aioli alongside for dipping.