In a large bowl, whisk together the flour, sugar, baking powder, and salt.
In another bowl, mix the milk, egg, melted butter, and vanilla extract.
Pour the wet ingredients into the dry ingredients and stir until just combined.
Gently fold in the crushed Oreo cookies.
Heat a non-stick skillet or griddle over medium heat.
Pour 1/4 cup of batter for each pancake onto the skillet.
Cook until bubbles form on the surface, about 2-3 minutes, then flip and cook for an additional 2 minutes until golden brown.
Repeat with the remaining batter.
For the creamy glaze, whisk together the powdered sugar, milk, and vanilla extract in a small bowl until smooth.
Adjust the consistency by adding more milk if needed.
Serve the pancakes warm, drizzled with the creamy glaze.