So this was territory where left-hander CC Sabathia is the favorite son candidate for the American League Cy Young Award.
Greinke, because he's also a top candidate for the prize, was asked to stop by and answer a few questions for the influential New York media about which pitchers he figured would be top Cy Young Award candidates.
Greinke named Tim Lincecum and Chris Carpenter. Well, no, they're National League pitchers. How about the AL?
"I don't know," Greinke said.
Was that just a hint of a sly smile on Greinke's lips? Well, he wasn't going to endorse an opponent's candidacy, was he?
Anyway, Greinke got through the 12-minute session without any apparent tabloid-like controversy.
Told Sabathia had often dreamed of winning a Cy Young Award, Greinke was asked if he ever thought about it.
"Not too much," Greinke said. "I always think about Roy Halladay and Johan Santana. Every year, they put up ridiculous numbers and they never really lose [many] games. They give up one or two runs a game and never more than that.
"I always figure you're going to have some games where you get beat, get blown up and give up like eight runs in a game. It's just hard to be consistent in every game and put up good starts every single time. I figured I could do a bunch of games with just three runs and stuff, but never really thought that most games you could just go one, two or zero runs every game."
Which, of course, Greinke has done quite often this year. In fact, he's had 18 starts in which he's given up one earned run or none.
And Greinke was asked if, with the Yankees waltzing off to the playoffs, he wished he could be there pitching.
"I don't want to pitch for New York in the playoffs -- I want to pitch for Kansas City in the playoffs," Greinke said stoutly.
Now there's a loyal Royal for you.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.