The former president and Georgian said he was "very proud" of the run made by the NFL's Atlanta Falcons this season.
"I thought it was their year," he said of the Falcons.
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 KerryPressure grows for breakthrough in Biden agenda talks Overnight Energy & Environment — Presented by ExxonMobil — Climate divides conservative Democrats in reconciliation push Equilibrium/Sustainability — Presented by Altria — Walrus detectives: Scientists recruit public to spot mammal from space MORE (D-Mass.), who is slated to take his wife, Hillary ClintonHillary Diane Rodham ClintonTrump criticizes Justice for restoring McCabe's benefits Biden sends 'best wishes' to Clinton following hospitalization The Hill's Morning Report - Presented by Altria - Jan. 6 panel flexes its muscle MORE's, spot atop the State Department.