"This remains a very fluid and risky situation and every few minutes something is falling", he said, warning people to stay away.
McConnell said only part of the building is considered stable.
Shocking images of the disaster shows the top floors of the building, which is now under construction, fall to the ground, with a huge cloud of dust erupting up in to the air.
One person was pronounced dead at the scene and three remain missing, according to the New Orleans Emergency Medical Services.
At least three people are unaccounted for and 18 were transported to the hospital after the incident on Saturday morning, New Orleans-based television station WDSU cited EMS officials as saying. When the under-construction Hard Rock Hotel in New Orleans collapsed, vehicles and a streetcar dodged the debris falling down from the site, as footage captured from inside a streetcar shows. "This remains a very fluid and very risky situation, and every few minutes something is falling off of this building". A large steel beam, hoisted up by one of the cranes, swayed in the air above the portion of the building that collapsed, WWL-TV reported.
Surrounding buildings, including condominiums, were being evacuated.
PHOTO: Construction workers look on after a large portion of a hotel under construction suddenly collapsed in New Orleans on October 12, 2019.
News outlets report construction workers ran to safety as the Hard Rock Hotel, which was under construction, came crashing down.
The cause of the collapse was not immediately known.
The building collapse was caught in a dramatic video.
The Hard Rock Hotel, which is near the French Quarter section of the city, was still under construction when the upper six to eight floors of the building suddenly collapsed.
"It sounded like a - I don't know how to describe it - like a building coming down", said Matt Worges, according to Nola.com.
The collapse happened about 9:12 a.m.
"It looked like the concrete just slid from the top all the way down to the street", he added. The rubble slid off the side of the building in insane video captured by onlookers in the street. The franchise was planning a 350-room hotel within the city's Theater District.
Plans for the mixed use development project were first unveiled in February 2018.