No, ice should never be given or applied topically to dogs showing signs of heatstroke. This can increase the risk of shock. Instead, begin cooling your dog with cool water, not cold or ice water, or towels soaked in cool water, and transport them to the nearest veterinary emergency hospital. No, ice should never be given or applied topically to dogs showing signs of heatstroke. This can increase the risk of shock. Instead, begin cooling your dog with cool water, not cold or ice water, or towels soaked in cool water, and transport them to the nearest veterinary emergency hospital.