She said a 25-year-old man was in hospital being treated for burns and had not yet been questioned by investigators probing the cause of the fire.
A man was seriously injured by the fire but survived. Officials believe the girls, all around the age of 15, died from carbon monoxide poisoning.
In an "Escape Room" game, the players are locked inside a room or building and must find clues that help them to leave it.
Lights, flowers and toys are left outside the escape room entertainment site where five teenage girls died in a fire.
Authorities carried out inspections at least 178 escape rooms across Poland over the weekend and found that 129 of them did not meet health or safety standards. Prosecutors said a leaky gas container inside a heater most likely caused the fire.
During a memorial Mass at Koszalin Cathedral, Bishop Edward Dajczak identified the girls by their first names as Julia, Amelia, Gosia, Karolina and Wiktoria.
On Friday, firefighters found the bodies of five 15-year-old girls locked inside an escape room at a private residence in the city of Koszalin after extinguishing a fire outside the room. The games are popular with Polish teenagers.
Police and fire brigade officers in Oswiecim, Poland, Friday, Febuary 10, 2017.
Earlier, firefighters blamed faulty electric wiring and substandard security procedures.
"The tragedy occurred primarily due to the lack of an effective evacuation route", said Leszek Suski, head of the state firefighting service, to the PAP Polish state news agency.
Brudzinski ordered fire safety checks to be held at all "Escape Room" locations in Poland.
A day of mourning has been announced to take place in the town of Koszalin.
Poland's President Andrzej Duda sent his condolences to the victims' families on Twitter.