Can an American husband abandon his wife in marriage and go to America to find her?

The answer is yes, but it depends on the specific circumstances of each case. If a husband who abandons his wife meets the requirements of American immigration law, such as having an American passport or a green card, he can go to the United States to find a wife. But if he doesn't have the above qualifications, he can apply for an American visa and then take it to visit his wife in the United States. But to apply for any American visa, you need to prove his identity and the purpose of his visit, and you may need other materials, such as passport and photos.