Regardless of how small or large your dog is, you will need to have an appropriate crate for it to travel in the plane. Consider inserting a microchip into your pet and giving a sedative to the dog.
India requires that your dog have an import permit before entry. In order to book a flight with your dog, you will need to provide the permit number to the airline.
Additionally, India does require that your dog have vaccinations for rabies and distemper. Both vaccinations cannot be less than a month old or more than 180 days old.
India does require an international health certificate that's less than 10 days old. Additionally, it must indicate your dog does not have Aujeszky's disease, leptospirosis and a negative test result for tuberculosis.
India does not require a quarantine period upon arrival of your pet. However, your dog will be quarantined for a certain amount of time upon arrival back into the United States.