The former president and Georgian said he was "very proud" of the run made by the NFL's Atlanta Falcons this season.
The Falcons lost the NFC Championship game, and a chance for the franchise's second trip to the Super Bowl, to the San Francisco 49ers on Sunday.
"It was a good game and I'm so proud," he said of the 28-24 result. "They came up short, four points short."
Carter, who also is a big Atlanta Braves fan and is frequently seen in the stands, said he is now looking forward to baseball season.
The Democratic president wasn't the only former commander in chief seen mingling.
Former President Clinton shook plenty of hands before the lunch, giving a handshake and shoulder pat to Sen. John KerryJohn KerryEllison comments on Obama criticized as 'a stupid thing to say' 'Can you hear me now?' Trump team voices credible threat of force Obama to attend Pittsburgh Steelers owner's funeral MORE (D-Mass.), who is slated to take his wife, Hillary ClintonHillary Rodham ClintonTrump faults DNC in Russian email hacks Week ahead: US raises pressure on WikiLeaks Poll: 85 percent of Clinton supporters would vote for her again MORE's, spot atop the State Department.