In a separate bowl, whisk the eggs, oil and milk together and stir in the grated carrot ... Put the cake on a board or plate. To make the frosting, stir the cheese and orange zest together.
However, once iced with cream cheese frosting, they should be stored in the fridge. You can freeze an un-iced carrot cake for up to 3 months, well-wrapped in clingfilm. Carrot cake is very forgiving.