In a medium saucepan over medium heat, melt the French butter. Stir frequently and cook until it turns golden brown and develops a nutty aroma, about 5-7 minutes.
Remove from heat, transfer to a bowl, and let cool slightly. Strain the milk solids from the brown butter using a coffee filter or fine mesh sieve. Set aside.
[*Note: You’ll need ½ cup of brown butter for the crumble topping and 4 tablespoons for roasting the apples.]
To make the crumble topping, in a medium bowl, combine flour, oats, brown sugar, salt, and cinnamon. Add the ½ cup of brown butter (including the milk solids) and mix until the topping resembles coarse crumbs.
Preheat the oven to 350°F. In a large bowl, toss the apple slices with granulated sugar, brown sugar, lemon juice, cinnamon, nutmeg, salt, flour, and vanilla extract.
In a large skillet, heat 4 tablespoons of brown butter over medium heat. Add the apple mixture and cook, stirring occasionally, for about 5 minutes until apples begin to soften. Add a splash of Calvados (optional) and continue cooking until apples are tender and caramelized, about 10 minutes. Transfer the apples to a 9×13-inch baking dish and spread them out evenly.
Sprinkle the crumble topping evenly over the apples. Bake in the preheated oven for 40-45 minutes, or until the topping is golden brown and the apples are bubbling and tender. If needed, bake up to an hour for extra crispiness. Allow the apple crisp to cool slightly before serving. Serve warm with a scoop of Brown Butter Ice Cream and enjoy!
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