Does the Country Inn & Suites (now a Choice Hotel) have a free shuttle to the cruise port in New Orleans? Do they charge for cruise parking?
I would call the hotel directly and ask them. I did not stay at this hotel. You can also check the amenities they list on the Choice Hotels website.
This property is a long way from the cruise port, maybe 15 miles so I doubt there is a shuttle. But I am unsure.
Get an answer from Comfort Inn & Suites staff and past guests.