We do language differently in New Orleans, and "neutral ground" is one of many such examples. Neutral ground refers to what other cities call the median, and it plays a prominent role in the history, culture, and life of New Orleans. Millions of residents and visitors use the neutral ground every year to watch parades, board streetcars, and more. Today the Department of Parks and Parkways maintains and protects green spaces of neutral grounds across New Orleans.
No. Parking on the neutral ground is prohibited by City Ordinance Section 154-1031, "Illegal parking upon neutral ground, public playground or pedestrian mall."