President Trump signed a measure on Wednesday that seeks to remove the bureaucratic barriers for permanently disabled veterans to qualify for student loan forgiveness, which he said would save 25,000 wounded warriors an average of $30,000.

The rollout of the executive action came during the American Veterans national convention in Louisville, Ky., where Mr. Trump was joined onstage by Betsy DeVos, the education secretary, and the deputy secretary of the Department of Veterans Affairs, James Byrne .

“I am proud to announce that I am taking executive action to ensure that our wounded warriors are not saddled with mountains of student debt,” Mr. Trump said. “They have made a sacrifice that’s so great. And they’re such incredible people. And they never complain. They never complain. That’s hundreds of millions of dollars in student debt held by our severely wounded warriors. It’s gone forever.”

The savings projected by the Trump administration represents a small fraction of about $1.6 trillion in overall student loan debt in the United States, which has become a point of emphasis among many of the Democrats running for president.