Combine ground pretzels, brown sugar, and baking powder in a large bowl.
Using a medium bowl, beat together melted butter, egg, vanilla, and heavy cream.
Stir the wet ingredients into the dry mixture until combined.
Heat a griddle over medium-high heat until hot. Brush griddle with some oil. Pour batter onto skillet and lower the heat to medium. Grill to a golden brown, flip and grill other side, working in batches if needed.
Serve with a white chocolate vanilla crème and drizzled caramel.