Place the wheel of brie in the freezer for 15 minutes.
Place the eggs, flour, and breadcrumbs in separate shallow bowls or dishes. Dip the brie into the flour coating the entire round. Then dip into the egg making sure the egg coats the entire cheese. Press into the breadcrumbs until evenly and fully coated.
Line a plate with paper towels. Put the oil and butter into a skillet large enough to hold the brie and heat over medium-high heat until the butter melts and starts to sizzle. Add the brie and cook for 2 – 3 minutes or until golden brown. Flip and cook the other side for 2 – 3 minutes or until golden brown. Using a large spatula, remove and place it on the paper towel-lined plate. Let sit for a minute or two before transferring to a serving plate. Top with the Cranberry Relish
Serve with gluten-free crackers, apple slices, or fresh veggies.