Mike Harkey was hired as the Diamondbacks’ pitching coach on Monday, so the Yankees will have an opening for a bullpen coach. Shortly after Joe Girardi signed a four-year extension, his entire coaching staff was rehired. Now, the manager needs to replace Harkey, who joined the Yankees with Girardi in 2008. Harkey was a teammate of Girardi’s with the Cubs and a candidate to replace Dave Eiland as Yankees pitching coach following the 2010 season. The job went to current Yankees pitching coach Larry Rothschild. The Yankees can go several ways to find Harkey’s replacement. If they go outside the organization, Gary Tuck, 59, is a candidate. He held the job in 1990 and was the Yankees’ catching instructor in 1998-99, when he tutored Girardi. Tuck was Girardi’s bench coach with the Marlins in 2006, and from 2007 to 2012, Tuck was the Red Sox’s bullpen coach. Should the Yankees stay inside the organization, highly regarded Scott Aldred, the Triple-A Scranton/Wilkes-Barre pitching coach. Arizona requested permission to talk to the 45-year-old Aldred, but it’s not believed he is in the running for the Diamondbacks’ bullpen job.