Bochy does not expect him to join the Giants on this road trip, but he should be back in the dugout when they return to San Francisco next weekend.
In the meantime, bullpen coach Mark Gardner will take charge of the pitchers during this series.
Righetti is in his 15th year as the Giants' pitching coach, the longest tenure among other pitching coaches in San Francisco history.
Maria Torres is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.