"I no longer refer to Washington's football team by its nickname," Brown said in response to a question from Washington Post reporter Jenna Johnson. "I know I believe that the fan base wants the same thing."
Mizeur, who represents part of Montgomery County in the House of Delegates, said she also thought the name should be changed, simply saying "words matter."
Even before the debate ended, Brown's campaign sent out a news release under the headline "Gansler flip-flops on Redskins name."
The release cited a May 2013 interview with WMAR-TV in which the attorney general said: "I've been a Redskins fan my whole life, I don't think there's anything disrespectful about the name. So I don't have a problem with the name."
All three candidates call the Washington, suburbs in Maryland -- Redskins country -- home. The debate was held at the University of Maryland in College Park and televised in the Baltimore and Washington markets.