Redskins Senior Vice President of Player Personnel Doug Williams apologized Friday after being widely criticized for a radio interview in which he defended the team’s waiver claim of troubled linebacker Reuben Foster.

Washington was the only team in the NFL to put in a claim for Foster after he was cut by the San Francisco 49ers following a weekend arrest on a domestic violence charge at the team hotel in Tampa.

Williams spoke at length about the Redskins' decision Thursday during his weekly radio appearance on The Team 980, and his characterization of Foster’s alleged abuse drew criticism on social media and beyond. Williams had said the team knew its claim would spark a backlash, then he seemed to minimize Foster’s alleged offense.

“We’ve got people who are in high, high, high, high places that have done far worse, and if you look at it realistically, they’re still up there,” Williams said in his most-scrutinized answer. “This is small potatoes [compared to] a lot of things out there. But at the same time, it’s a big issue in America today, whether or not it’s in football, whether or not it’s in everyday life, whether or not it’s in politics, it’s out there.”

In an impromptu news conference Friday, he apologized to the organization, his wife, his mother, his sisters and his six daughters for the radio interview, without specifying for what he was apologizing.

“The last night or so has been real tough on me from an emotional standpoint,” Williams said, “because never in my life have I said something so insensitive. I’m not going to sit here and make excuses, because there is no excuse. . . . If you know me, you would understand, growing up, I understand the climate and what’s going on. For me to make comments like I did, I just want to apologize to anybody out there within earshot, especially the ladies of this area and across the country. I’ve got six daughters. There is no way in the world I would tolerate anything like that.”

Williams said in his radio interview that the Redskins' front office was united in its decision to claim Foster; an NFL official told The Post earlier in the week that team leadership was divided over the move.