The 22-year-old Balester is the only of the trio with major league experience, having started 15 games for the Nationals last year. He and Zimmermann are vying for spots in the rotation and Young is a Rule 5 draft pick who must either make the team out of camp or be offered back to the Cincinnati Reds.
"I tried to be as calm as possible and not get too worked up, and I think that helps me," the 22-year-old Zimmermann said. "I wasn't nervous at all. I just got up there and did my thing."
Tigers starter Edwin Jackson struck out three and walked one in two innings.
The Nationals fired Jose Rijo, who had been a special assistant to general manager Jim Bowden. Rijo took a leave of absence over the weekend after a Major League Baseball investigation revealed a prospect he discovered was older than originally believed. Last week, it was announced that Esmailyn "Smiley" Gonzalez of the Dominican Republic lied about his age and name. The Nationals also cut ties with Rijo's training facility in the Dominican.