Jeter tied Mantle in New York's 12-5 loss to the Orioles on Friday and appeared in the lineup for the first game of a day-night doubleheader on Sunday, batting leadoff as the designated hitter.
"I take pride in coming and doing my job. I think that's probably the best way to put it," Jeter said. "My job is obviously to come and play games, try to stay on the field and try to stay healthy. I've done it for a long time, I guess."
Jeter already held the Yankees' franchise lead in hits, at-bats and stolen bases, and he could surpass Lou Gehrig in career doubles (534 to 488) and Babe Ruth in career runs (1,959 to 1,754) before his playing days are done.
"I don't compare things," Jeter said. "All of them are special in their own right."
Jeter first realized that no Yankees player had achieved 3,000 hits a few springs ago after leafing through the team's media guide in Tampa, Fla. But he didn't learn of the games-played record until earlier this season, when he said someone mentioned that he was getting within striking distance.
"I don't even think you're aware of anything like that," Jeter said. "When you first come up, you're just trying to keep your job and stay here as long as you can.
"I don't think people get called up and look at, 'Let me see who has the games-played record for the organization.' So this one was something I never looked at. No one ever talked about it."
According to the Elias Sports Bureau, the only other active players who lead their current team are Colorado's Todd Helton and Texas' Michael Young.