"I will if you take that hat off," Jeter said with a smile.
One-quarter of the way through Jeter's first season as CEO, the Marlins are still struggling to reclaim the support of South Florida. Average home attendance through Tuesday was 10,676, by far the worst in the majors, and a 15-26 record didn't have fans scrambling to jump on the bandwagon.
Jeter said he's not pleased with the team's record or attendance, but sees reason for encouragement regarding the direction of the troubled franchise.
"What I try to do is take positives from every game," he said. "There are a lot of good things we've seen. Obviously no one is happy with the win-loss record. But there are a lot of positives."
They're tougher to find regarding attendance, with the Marlins likely to finish last in the National League for the 13th time in 14 years.
"We've gotten a positive reception with what we're trying to do," he said. "But the bottom line is, we want more people to come. We're not happy with the number of people in here. A lot of that goes with how we perform."
In the wake of the franchise's latest payroll purge last offseason, the team could be years away from contending. The dismantling was designed to help the team rebuild from the ground up, starting with a weak farm system.
Jeter's fingerprints will be on the Marlins' decisions in next month's draft -- as they are on everything else. He's involved in draft preparation "in every way," he said.
"I get a rundown on all the prospects. We'll have our draft meetings and see what direction we're going to go. I'm very involved in everything that goes on around here."
The Marlins haven't been to the playoffs since 2003, but losing is a new experience for Jeter. With his team last in the NL East, the former Yankees captain is focused on looking for signs of improvement.
"We've been in a lot of games," he said. "We've got to figure out ways to win those games."
After signing autographs during batting practice, Jeter chatted with several players, including Dodgers slugger Cody Bellinger, whose father, Clay Bellinger, was Jeter's teammate with the Yankees from 1999 to 2002.
"I remember Cody coming around the clubhouse when I was playing with his dad," Jeter said. "Time flies. I guess that's a good way of saying I'm getting old."