Turn outdoor grill to high and grill corn on the cob until corn is charred and cooked. Allow to cool enough to touch before slicing the kernels off. Alternatively, if you're doing this on the stovetop, slice the kernels off the cob then toast the kernels over medium-high heat (be careful, they pop!) until golden brown.
In a large bowl whisk together cornmeal, flour, baking powder, salt, pepper, and parsley. Add milk and mix together with a wooden spoon until thick and thoroughly mixed through.
Heat up a cast iron skillet over medium-high heat and add some vegetable oil to the pan.
Using a 1/3 cup measuring cup or large cookie scoop, scoop corn mixture out and place into the skillet, gently pressing the mound down so it's flattened. Cook for 5 minutes on one side, or until it's browned, flip, and cook another 5 minutes, or until it's browned. Remove and repeat for all the other corn fritters.