The store is on the ground floor with apartments above.
The Fire Department of NY says 23 people, including a firefighter, are hurt following a Bronx blaze.
When asked about the injured, Nigro said "They will all be OK, thankfully".
The flames broke out after 5am (9pm AEDT) in the Van Nest area of the Bronx in a building that houses a furniture store on the first floor and apartments on the upper floors.
"Our units arrived and were immediately faced with heavy fire".
The fire went to six alarms and dozens of fire vehicles were on scene as thick smoke poured out of the building and flames were through the roof.
According to the reports, at least 16 people have been injured as the blaze continues to rage.
The displaced residents were placed on an MTA bus so they could keep warm while firefighters continued battling the blaze.
Five hours later, the fire crews were still fighting to control the blaze on the Bronx's Commonwealth Avenue.
The fire came just days after * a href="https://newswire.storyful.com/storylines/*/stories/190936" target="_blank" rel="nofollow noopener" *another fire at a residential building in the Bronx claimed 12 lives. Mayor Bill de Blasio said a child playing with a stove apparently touched off last week's blaze.