Grate the carrots finely, and mix with the other ingredients in a bowl. Add 1-2 tablespoons water to make a very stiff paste.
Heat a large frying pan over a medium heat, and add spray oil to lightly cover the base. Take heaped spoonfuls of mixture and form into patties. Depending on the size of your pan, you may be able to fit 5-6 fritters in each batch.
Cook until lightly browned and turn over. Cook until the second side is browned and keep warm whilst you back the remaining batch.
Serve hot or cold, with your favourite chutney or your favourite dairy-free yoghurt.