The A's were blanked for eight innings but scored two in the ninth and had the tying run at the plate before falling to the Yankees, 4-2.
Chris Young injured his left quad trying to reach first base in the 15th inning of the A's 19-inning game last Monday.
Adam Rosales hit a home run on the first pitch of the game, and A.J. Griffin did the rest as the A's blanked the Yankees in New York.
The A's haven't played well in the new Yankee Stadium, but their only trip there this season starts a 10-game road trip.