Downtown New Orleans has plenty of dining rooms and not many that will close a section for your group without a long email chain. Namaste Nola takes private lunches and dinners at 201 Baronne Street, Suite B. The room is part of the restaurant, not a separate banquet hall across town.
The city visitor guide lists dining as one of the reasons people plan a night out (New Orleans restaurants). A private table is the version of that night where the speeches, the gifts, or the client conversation stay in one place.
What to send
Use the parties form. Include the date, the guest count, and the occasion. Lunch has to sit inside 11:00 AM to 2:45 PM. Dinner sits inside 5:00 PM to 10:00 PM. A guest count that arrives the day before is harder to feed well than the same count a week out.
Say who does not eat meat, and whether you want a set menu or an open menu. Cocktails can come from the bar. A regular two-top is still a Resy reservation, not a private buyout.
What the room is for
Birthdays, small receptions, and client dinners fit. A wedding for the whole block does not. If you are unsure, send the number. The restaurant will say whether the room can take it.
Twain described lagniappe as the thirteenth roll in a baker's dozen (Life on the Mississippi). A private dinner is not a free extra on top of a walk-in. It is a planned meal. The care is in the count and the menu, not in surprise.