Many workers in the city could face the choice between exposing themselves and their families to a deadly virus or losing their livelihoods.
The city will add some restrictions on top of the state-wide ones, including a moratorium on casino operations.
Cantrell's announcement came just hours before Governor John Bel Edwards announced the end of the state-wide stay at home order.
New Orleans, unlike most of the state, is relying on assurances from Entergy instead of mandating protections through regulatory action.
The resolution also urges the Convention Center to release some of its reserves to support struggling hospitality industry workers.
Administration officials give the City Council more details of potential losses and how it may deal with them.
No decisions yet on worker furloughs, layoffs.
The moratorium was extended from May 4 to at least May 18.
Council members say few details yet available on how the debt would be repaid.