There is no definitive answer to this question as it depends on a variety of factors, including the severity of the cough and the age, health and temperament of the dogs. Some people advocate that dogs should not be given toy toys because they can build up a tolerance to them over time, but others believe that a small amount of toy play is beneficial for dogs and can help relieve symptoms of kennel cough. Ultimately, the decision to discard a toy will come down to personal preference.