Bradley finished tied for seventh at East Lake, five strokes behind Tommy Fleetwood, marking his sixth top-10 finish of the season, which also included a win at the Travelers Championship.
The 39-year-old narrowly missed out on one of the six automatic U.S. Ryder Cup spots, placing 11th in the qualification standings, but he remains eligible for a captain's pick when the team is finalized on Wednesday, August 27.
Former president Donald Trump has publicly backed Bradley to become the first playing captain since Arnold Palmer in 1963, and others have floated the idea of a dual role. Bradley plans to discuss his options with his vice-captains in the coming days.
"I think no matter what decision that I make here, I could have gone the other way easily, no matter what," Bradley said after his final-round 70 at East Lake, where he was briefly within one of the lead.
"The only thing I care about is on Sunday of the Ryder Cup, that we win the Ryder Cup. Then I'll know I made the right decision. Until then, I won't know. It's going to be pretty wild. Whatever decision we make, we're going to have to live with it.
"I'm sure they [vice-captains] have been talking behind my back as I'm out there [playing]. I know they have a separate chat without me. I'm sure they have some of their opinions that they want to tell me what they think."
Scottie Scheffler, JJ Spaun, Xander Schauffele, Russell Henley, Harris English, and Bryson DeChambeau secured the automatic Ryder Cup spots, while Justin Thomas and Collin Morikawa - next in the standings - are widely expected to be named as captain's picks.
"I haven't been playing great, but I think I'm a great asset to that team," Morikawa said. "Hopefully I get a positive call from Keegan. Look, at the end of the day, he's going to do what's best for the team, and we're going to see how that plays out."
Ben Griffin, ninth in the qualification standings, is another strong candidate for a captain's pick after claiming two PGA Tour victories this season, recording two top-10 finishes in majors, and finishing the campaign with a top-10 at the Tour Championship.
"It's tough being a bubble guy and being outside that top six, but I played really solid this year," Griffin said. "Hopefully Keegan sees that and wants me to represent the United States.
"It's going to be an anxious 24 to 48 hours. I know I've been able to handle some big moments this season. I know I'll be comfortable on that stage at Bethpage, and hopefully I can start practising 48 hours from now and start getting ready for that Ryder Cup."