Here is the very fast and simple way my mother cooks carp. Ideal when you have lots of other dishes to prepare for example on Christmas Eve.
2 kg carp
Wash carp thoroughly and cut into large pieces. Rub with salt and pepper. Leave in the fridge for about an hour. Coat carp with seasoned flour. Coat flour-coated carp with beaten egg. Finally coat with breadcrumbs. Fry the fish on both sides until browned in a large frying pan, turning frequently. Serve.
Be careful of the very sharp bones when eating!
If you want something a bit more fancy try this Polish carp recipe.