The representative said the airline would talk to Hartsfield-Jackson and Georgia Power, the electric company that provides power to the airport, about compensation for the losses.
Some 275,000 passengers come through the Atlanta airport each day, while 2,500 flights arrive and depart every day.
Meanwhile, according to aviation experts, the 11-hour blackout would likely cost tens of millions of dollars or more for airlines, stranded travelers and others.
Officials said a fire in an underground electrical plant, Sunday, was responsible for knocking out the power.
Ed Bastian, the CEO of Delta, an airline based out of the airport, says he is shocked it took almost 12 hours for power to be restored.
"There are just so few seats available during a peak holiday week, that's just going to take a lot of flights with four or five seats apiece", Mann said.
On Tuesday - two days after the outage - passengers were still sleeping in the atrium area that's often used for events aimed at showcasing the world's busiest airport.
"Having been there myself in a crisis, the most important thing is to stay visible, to let people know what you know, even if you don't have all the answers - and to make certain you take responsibility", Bastian said. Almost 2,500 planes arrive and depart each day, according to the AP.