Firefighter Stephen Hunt got into difficulty inside the building at around 8.35pm, along with another firefighter, Greater Manchester Fire and Rescue Service said.
Both were pulled out by their colleagues and treated by the Ambulance Service before being taken to hospital.
More top news
Migrants desperate to reach Britain from Calais have told how making the dangerous journey is their "last chance".
Malaysian Airlines flight MH370 vanished more than a year ago carrying 239 people on board. Here is a look at the key events since.
Investigators have released images of two more people they wish to speak to about the Hillsborough tragedy.