Not everybody can simply go to the USA on a J-1 visa program. The term eligible means that you meet certain criteria. For HRC's career program this means that you are able to speak English and:
You are enrolled in a post secondary ministerially recognized academic institution in the hospitality industry
OR
You have a hospitality degree and at least 1 year of recent relevant experience in the (ultra) luxury hotel industry (outside of the USA)
OR
You have 5 years recent relevant work experience in the (ultra) luxury hotel industry (outside the USA)