Any restaurants in NOLA open around Christmas?

Not sure how fancy your "friend" wants to get, but there are some good choices listed on the site linked below.

Tujague's has always been a classic on Christmas Day.
Broussard's should be solid
Compare Lapin (never eaten there but have heard good reviews)
Domenica or Luke could also be good options.

They should call ahead and ask if they are serving full menu or doing some sort of "prix fixe" menu, and what the Covid restrictions are if they are not familiar.

https://www.neworleans.com/events/holidays-seasonal/christmas/restaurants-open-for-the-holidays/