Then he turned to his left and shook the hand of his seatmate and Cuban counterpart, Raul Castro.
The scene was a remarkable milestone for sports diplomacy as the two presidents try to set aside more than 50 years of Cold War hostility, during which about the only thing the countries agreed on was a shared love of baseball.
Obama and Castro even joined in when fans were doing "the wave."
In the landmark game, the first visit by a major league team to the communist island since 1999, the Rays beat the Cuban national team 4-1 on Tuesday.
But the day will be remembered less for the final score than for the two men sitting in the front row at Havana's Estadio Latinoamericano, the last stop on Obama's trip to Cuba this week in a bid to further pave the road toward normalized relations.
The near-capacity crowd roared as Obama and Castro entered and walked toward their seats right behind home plate, waving to fans and greeting other dignitaries.
Chants of "Raul! Raul!'' broke out.
Rarely has so much pomp and circumstance accompanied an exhibition game. Former All-Stars Derek Jeter and Dave Winfield and Major League Baseball commissioner Rob Manfred were among the president's greeters. Secretary of State John Kerry was also in the VIP box, as were several of Cuba's highest officials.
Before the first pitch, Rays players walked over from the dugout to say hello and passed flowers and small Cuban flags through the netting to first lady Michelle Obama and first daughter Sasha.
"Appreciate you guys," said the president, clad in a white shirt and sunglasses. Castro was slightly more formal in a blazer.
The last time a big league club played in Cuba was 17 years ago, when the Baltimore Orioles came to this same stadium during spring training.
"We won't experience anything like this again," Rays manager Kevin Cash said afterward. "So it's a very special day for Major League Baseball, the Tampa Bay Rays and obviously all of our players, myself included."
Said Moore: "It's really great, you know, this is something that feels like a very big game back home. ... I've had the opportunity to be in the playoffs a few times, and this feels like that kind of an event."
Obama and Castro were gone by the third inning, with Obama heading to the airport to fly south for a state visit to Argentina, but the stands remained packed until the final out.
Reyes, a hometown favorite who plays for Havana's powerhouse club Industriales, finally gave the fans a reason to cheer with his solo shot.
"It kind of went quiet for a little bit, but then they get something going, you can imagine how loud this place can get when it's championship baseball," Cash said.
The day left Reyes imagining something else, too.
"A lot, this game meant a lot, because of the brotherhood there will be from now on" between Cuban and U.S. baseball, he said.
The diamond detente will help "open the door to the possibility that Cuban baseball players can play" in the majors, he said.
What the game lacked in offensive productivity from the home team, it made up for in pageantry.
Loud music and dancers on the field warmed the crowd up beforehand, and tots in tiny baseball uniforms escorted the players out for introductions.
A white-clad choir sang both countries' national anthems, and a flock of doves was unleashed from the center-field stands. The Cuban and U.S. flags fluttered atop the scoreboard under overcast skies.
The stadium known as "El Latino" got a facelift just before the Rays' visit, providing a freshly scrubbed backdrop.
"It's beautiful. The field looks marvelous," said Guillermo Gonzalez, an 18-year-old university student. "We are celebrating a union between two peoples, between the United States and Cuba. It's marvelous."
The stands were notably more mellow than your average Cuban game, where the music, dancing and horn-blowing can be practically nonstop.
Admission was free, and tickets were distributed to Cubans through organizations such as student groups and workplaces. That essentially assured a well-behaved crowd and no government opponents around to protest.
Maria Ester Mendoza Alvarez, a 52-year-old university professor, agreed that cultural exchanges like this one can help heal geopolitical schisms, but also said the United States ought to end its economic embargo and give back the naval base at Guantanamo, two longstanding grievances of the Cuban government.
"Forget all the politics," Mendoza said. "We are going to enjoy this as a game, nothing more."
The trip was also a homecoming for Tampa right fielder Dayron Varona, who was born in Havana and spent seven years playing in Cuba before hopping a boat to Haiti in 2013. On Monday he had a tearful reunion with relatives he hadn't seen in three years.
In a symbolic moment, Varona was first to bat Tuesday. He flied out to first, to polite applause. He said after the game that "playing baseball here is a really beautiful thing, very impressive."
Meeting Obama, that also stood out.
"That gave me a lot of satisfaction," Varona said. "I hope someone took a photo and has it somewhere so I can go pick it up."
Luis Tiant, a three-time MLB All-Star, and Pedro Luis Lazo, who had a long career with Cuban club Pinar del Rio and the national team, threw out the first pitches.
The teams exchanged jerseys postgame, with the Rays tweeting that on this day "everybody won."
The stadium observed a minute of silence before the game in memory of the Brussels attacks.
After the game, protesters interrupted ESPN's Bob Ley while he was doing a live segment from Cuba for SportsCenter.
Ley said a protester jumped up next to him and began yelling. Five other individuals, from the dissident class in Cuba, were also involved. The police responded quickly, both uniformed and plainclothes.
The protesters threw pamphlets calling for reforms and freedoms.
According to Ley, six arrests were made, including one man who was taken off and restrained by his neck. Police then swooped in and collected the pamphlets that had fallen to the ground.
Information from The Associated Press was used in this report.