Preheat oven to 350F. Line an 8x8 baking dish with parchment paper.
Heat a medium frying pan over medium-low heat. Melt butter, add apples and cook, stirring occasionally until very soft and caramelized, about 12-15 minutes. Remove from heat and stir in ¼ teaspoon cinnamon.
Meanwhile, in a large bowl, whisk melted butter with brown sugar until combine. Whisk in egg and vanilla extract.
Using a spatula, stir in flour, salt, remaining cinnamon and nutmeg. Fold in apple slices.
Pour batter into prepared pan. Smooth the top and bang the bottom on the counter to ensure batter is even in the pan.
Bake in the centre of the oven for 20-25 minutes. Remove from oven, allow to cool for 15 minutes, then flip and cool completely on a wire rack. Cut into 16 squares.
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