Beat cream cheese several minutes until fluffy. Add sugar and egg. Beat until smooth. Set aside.
(Squeeze out zucchini by hand in a paper towel to remove most of the excess moisture. )Whisk together oil, eggs, zucchini, milk and vanilla.
In a separate bowl, stir together cocoa, flour, sugar, baking powder, baking soda.
Mix wet and dry together. Fill cup liner 1/2 way with batter. Top with 2 tbsp cream cheese mixture. Bake at 350 degrees until inserted toothpick comes out clean, about 25 minutes.