In a skillet over medium heat, combine the corn, cream, salt, pepper, and sugar. Whisk together the milk and flour, and stir into the corn mixture.
Cook over a low simmer, while stirring constantly, until the mixture has thickened, about 5 minutes.
Remove from heat, stir in the butter, and sprinkle with parsley. Taste and adjust salt and pepper, as needed. Serve warm.