Add the chicken, seasonings, bay leaf, cardamom, garlic and water to a pot. Bring to a gentle boil, reduce to medium-low, cover and simmer 15-18 minutes, until the chicken reaches 165F. Remove, cool slightly and finely shred.
Mix the shredded chicken with cream cheese, green onion, garlic, Parmesan, seasonings, parsley and lemon juice until well combined. Taste and adjust salt.
For the sauce, mix the mayonnaise, sour cream, Parmesan, garlic, lemon juice, Dijon, garlic powder and black pepper. Add 1-2 tbsp milk or heavy cream until creamy and your desired consistency. Adjust salt and refrigerate.
Place about 1 tbsp filling in the center of each wonton wrapper. Lightly wet the edges with water, fold over and press firmly to seal, bringing the two outer corners together for a classic rangoon shape.
Heat 2-3 inches of neutral oil to 350F. Fry the wontons in batches for 2-3 minutes, turning occasionally, until golden and crispy. Transfer to a wire rack or paper-towel-lined plate and let the oil return to 350F before the next batch.
Serve immediately with the garlic Parmesan sauce, garnished with fresh parsley and extra Parmesan.