My cousin is OFF PAROLE SINCE April 2016, we want to go on family cruise ? I wanted to know will he be okay or will he be in trouble?

If he has a criminal record, off parole or not, don't think that will be a possibility. What country are you from? This is an international site.

It will depend on what country or countries he is planning on visiting. If this is an Alaska cruise and you will only be entering US areas (if you are from the US)

But he may not be allowed to enter other areas without prior immigration approvals

He should be okay if you are doing a closed loop cruise except for Alaska. Many Alaskan cruises port in Vancouver.

For the most most accurate advice, you should contact the cruise line directly.