Preheat the oven to 350 F. In a large bowl, mix together cake mix, eggs, vegetable oil, and mint extract until smooth. Stir in the food coloring until it is fully green. Fold in the white chocolate chips.
In a shallow dish, combine granulated sugar and ground cinnamon. Roll the cookie dough into balls and roll in the cinnamon sugar mixture. Place the cookies onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.