In a container with a lid, combine 2 cups of diced apples (skin on) with 2 cups of vodka. Let infuse for 36-48 hours. Strain vodka from diced apples and keep in an airtight container in the refrigerator or freezer.
In a cocktail shaker, combine all ingredients for the Miss Germain and shake until ice cold.
Place 1 apple and 1 lemon peel in a coupe cocktail glass. Strain half of cocktail mixture over top and serve. Repeat with second glass.