Greyhound training is not exceptionally different from training other dog breeds. It is, however, important to understand the characteristics of the greyhound breed. To contrary beliefs, greyhounds are not actually high-energy dogs, eventhough people think so because of the races. Extensive exercise may not be necessary but should be provided with exercise just enough to keep them mentally and physically healthy - daily walks and random trips to the dog park will suffice.
Due to the characteristics of the dog, positive influenced training works best to achieve your desired results. Greyhounds are easily startled and easily frightened, therefore punishment based training is not the best option to train greyhounds. When training the greyhounds off the leash, it is best to do so in a fenced of environment so they can not run away.
To prevent or minimize your pet from feeling frightened, take the training slow. Introduce new things or tricks one at a time and always make new experiences positive. Make training sessions enjoyable and challenging and end with lots of praise, treats and anything your pet finds rewarding.
Your pet is not entitled to punishment even if you see urine stain on the floor or if he did something not right in the human perspective. The best way to give correction is to catch him in the act of doing something. When you see your pet peeing beside the couch, make a noise to get his attention, transfer to the designated spot and let him finish their. Give rewards when he does. This will eventually get him used to urinating/defecating at the designated spot.
In order to make your dog look forward to training, make sessions short, fun and challenging. Don't expect the dog to catch on to commands straight away, if after a few tries he hasn't learned, try something easier.