Joe Girardi has four World Series rings, a National League Manager of the Year trophy and an All-Star Game selection on his resume. Yet it’s possible that, when we look back at his career, another accomplishment will stand out the most.

He has managed Alex Rodriguez for six seasons now and there’s nary a scratch to show for it.

As the Yankees’ perpetually rocky working relationship with A-Rod has plummeted to new lows this past week, their manager has earned points by simply staying out of the fray.

“I don’t think it’s really hard to stay out of it,” Girardi said yesterday, before the Yankees suffered their fifth straight loss, 4-2 to the Orioles at Camden Yards. “I don’t think I was really ever involved with it, in a sense. For me to get involved, I’d have to say something that would trigger it. And that’s easy for me not to do.”

Girardi has bigger worries than whether A-Rod announces his own rehabilitation schedule, as his team, now 42-39 at the halfway mark, is flailing as it hopes to get A-Rod, Francisco Cervelli, Curtis Granderson and Derek Jeter back off the disabled list. They’ll try to capitalize on a four-game set in Minnesota, starting tonight, against the lousy Twins.

It’s true that Girardi hasn’t needed to even look at A-Rod since the beleaguered third baseman headed to Tampa in early May to rehabilitate his surgically repaired left hip. It’s also true that Yankees general manager Brian Cashman has no problem being the bad cop, laying down the law as he did this past week _ too profanely, as he later conceded _ and letting Girardi maintain somewhat positive relations with his player.

Nevertheless, look at all the baseball people who wear scars from their associations with A-Rod: Cashman’s “Shut the ___ up” comment to ESPN New York will go down as one of his most memorable utterances. Hal and Hank Steinbrenner committed the 10 years and $275 million to A-Rod when they could have just walked away from the free agent. Joe Torre couldn’t stand managing A-Rod, as he made clear in his 2009 book “The Yankee Years.” Jeter’s captaincy took a hit, as has Robinson Cano’s earning potential.