Halbritter said the NFL and Snyder could "borrow a page from the president" and use a decision to change the team's name as a "teachable moment."
Despite the controversy, an AP-GfK poll conducted in April showed that, nationally, "Redskins" still enjoys wide support. Nearly 4 in 5 Americans don't think the team should change its name, the survey found. Only 11 percent think it should be changed, while 8 percent weren't sure and 2 percent didn't answer.
Obama said he doesn't have a direct stake in the Redskins debate since he's not a team owner. But he hinted that might be part of his post-White House plans.
"Maybe after I leave the presidency," he joked. "I think it would be a lot of fun."
"I'd probably look at a basketball team before I looked at a football team," said Obama, who plays basketball in his spare time, has coached his daughter's basketball team and is a fan of the NBA's Chicago Bulls. "I know more about basketball than I do about football."
Associated Press writers Joseph White and Darlene Superville contributed to this report.
Follow Julie Pace at http://twitter.com/jpaceDC
Copyright 2013 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.