Quintero got a chance to face Rodriguez in the batter's box for the first time in Tuesday's middle game.
"I know what he throws," Quintero said. "He's got the ball. I've got the bat. We'll see what's going on."
Rodriguez won the battle with Quintero, who went hitless in all three at-bats. Quintero did get a hit off reliever Brandon Lyon to finish 1-for-4 in the Royals' 2-0 win.
Quintero and Rodriguez actually didn't work together all that often in the last few years. The last time Quintero started behind the plate with Rodriguez pitching was June 18, 2010.
Making his first trip back to Minute Maid Park since being traded on March 21 with Jason Bourgeois to the Royals for prospects Kevin Chapman and D'Andre Toney, Quintero noticed some Astros fans yelling his name on Monday.
"I played here for seven years, so the fans appreciate it," Quintero said. "I was always working hard. I appreciate what the fans do for me."
Quintero, 32, enjoyed his time in Houston but is also relishing the opportunity to play for the Royals. Entering Tuesday's game, he was batting .231 in 130 at-bats with a homer and 19 RBIs.
"We've got a lot of young guys that are working hard every day to win," Quintero said. "I like it. I love it here."