Great Danes and Chihuahuas certainly have the capability to breed, but that doesn’t mean it’s safe. Because of the insane difference in size between a Great Dane and a Chihuahua, the sex of the Chihuahua and Great Dane parents matter. A female Chihuahua wouldn’t be able to carry the size of puppies that a Great Dane cross could produce. It could be a risk to her health as well as the puppies. If your Chihuahua is accidentally bred by a giant breed, like a Great Dane, speak to your veterinarian about the safest option. Now, if you’re looking at it the other way around, it should be possible for a Great Dane female to carry and whelp a litter of Chihuahua cross puppies. However, it may be very difficult for the male Chihuahua to get her bred in the first place due to the differences in size. The best option is by artificial insemination of a Great Dane female. Just because a Great Dane and Chihuahua could create life doesn’t mean it’s ethical to do so, especially intentionally. Avoid breeders that say they have produced a Great Dane/Chihuahua cross, even if the breeding was done through artificial insemination.