How to Make It
Prepare the Sauce: Whisk together all Sauce ingredients in a small bowl. Set aside.
Prepare the Fritters: Whisk together milk and eggs in a medium bowl. Add flour and baking powder; stir just until combined. (Do not overmix.) Add eggplant, ham, shallot, parsley, and chile; fold just until incorporated. (Do not overmix.)
Heat oil in a large skillet over medium-high until shimmering. Working in 2 batches, spoon 1/4-cupfuls of batter in 4 mounds into skillet, flattening each slightly after placing in skillet. Cook until browned, 1 minute and 30 seconds to 2 minutes and 30 seconds per side. Transfer to a plate lined with paper towels to drain.
Sprinkle fritters evenly with salt. Serve hot with sauce on the side. (If not serving immediately, keep fritters warm in a 250°F oven.)