The Pool at Four Points By Sheraton French Quarter
The pool at Four Points By Sheraton French Quarter is acknowledged by those who travel for a living. Of the 7 publications that we monitored, 3 acknowledged the pool, like Fodor's, Gayot and Star Service.
Four Points By Sheraton French Quarter 
Fodor's
Gayot
Star Service
Fodor's "The courtyard, with a large saltwater pool, lounge chairs, and umbrella covered tables is enclosed to give you a sense of serenity farther from the French Quarter than it actually is"
Gayot "The 186 well-appointed rooms are done up in traditional furnishings, and amenities include a swimming pool, 24-hour fitness center, copy/fax center and free Wi-Fi"
Star Service "Travelers who want a break from French Quarter reveling may prefer a room overlooking the courtyard with its relatively tranquil pool view, or better yet opt for a hotel off Bourbon Street"
