America does not have an arranged marriage culture. It’s never been incredibly popular here. However, the closest thing in American history is the mail order bride culture of the late 1800s. When everyone was going west, men more often went than women. With a shortage of women in the west and a shortage of men in the east, catalogs started with the sole purpose of getting women out to the west by helping them arrange marriages.
Unlike Indian arranged marriages, the parents would not be present to help them set this up. It was all up to the bride and groom. An arranged marriage like what is often seen in India is rare, if done at all, in America. The closest thing one gets is a parent pressuring their son or daughter to date someone they like.