Preheat your oven to 425°F (220°C).

Place your oven-safe skillet in the oven while it preheats.

In a mixing bowl, whisk together the eggs until they are frothy.

Add the milk and vanilla extract to the whisked eggs, mixing until well combined.

Gradually add the flour and salt, whisking until smooth.

Carefully remove the hot skillet from the oven and add the butter, swirling it to melt completely.

Pour the batter into the melted butter in the skillet.

Return the skillet to the oven and bake for 20 minutes, or until the edges are golden brown and puffed.

Let the Dutch Baby cool slightly before serving.