Snedeker said Trump — who visited the Chicago-area course for Sunday's final day — should take credit for the win.
"He told me (he) was going to bring some energy today for you guys.
You guys need it," Snedeker said. "And I told him if we did this, he gets all the credit. So thank you, President Trump."
The Americans improved to 14-1-1 in the biennial rivalry after trailing 10.5-7.5 entering 12 concluding singles matches, the Internationals poised to end a 28-year win drought but failing.
"It was on a knife edge all day," Internationals captain Geoff Ogilvy of Australia said. "It's a very difficult thing to beat the US in singles in the US. They all played great."
The Americans had nine wins and a draw on the final day.
"I don't think I'd do anything differently," Ogilvy said. "It sort of drifted the wrong way all day."
The non-European side's lone win was in 1998 at Australia with a shared trophy at South Africa in 2003.
The Americans, boasting eight of the world's 11 top-ranked golfers, won on the same suburban Chicago layout where Europe took the 2012 Ryder Cup with the famed "Miracle at Medinah" fightback.