Redskins owner Snyder, asked by reporters Wednesday for his reaction to the trademark decision, simply waved to reporters and did not comment.
Redskins wide receiver Santana Moss called the decision "sad."
"It's sad, but like I said before, it's something that I can't control, so I'm going to leave it alone," Moss told reporters. "I hope the best for it because I feel like, as a Redskin, I don't think that we wore this name trying to bring any harm to anybody. A lot of us out here as players didn't know of the history or nothing like that, and we've been kind of privileged to get a little bit of insight on some of the history and just with that you still don't know enough."
Griffin said he and his teammates would try to keep their focus on the field.
"Our jobs as players is to focus on what we can on this field day in and day out and let the league take care of that stuff. And when it's the right time, then we can voice whatever it is that we know about the situation," he said.
Officials the NFL could not immediately be reached for comment.
Meanwhile, Miami University in Ohio, which also once used the Redskins nickname, used Wednesday's ruling as an opportunity to tweet to the NFL team.
ESPN.com Redskins reporter John Keim and The Associated Press contributed to this report.