The Yankees dismissed hitting coach Jeff Pentland and bullpen coach Gary Tuck after the season. Harkey was dismissed by the D-backs, who went 79-83 and had a staff ERA of 4.04, ninth in the National League.
Alan Cockrell, who served as the assistant hitting coach in 2015, has been promoted to assume the Yankees' hitting coach duties. Marcus Thames will serve as the assistant hitting coach.
Third-base coach Joe Espada, pitching coach Larry Rothschild and bench coach Rob Thomson are each returning to the roles they served in 2015.
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch, on Facebook and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.