With runners on first and third, Girardi did not intentionally walk Wright, who delivered the winning run with a sacrifice fly.
He delivered the decisive run in Tuesday night's 5-4, 12-inning victory in Game 3.
Chad Tracy, Arizona's rookie third baseman, delivered the first run with a throwing error.
He finally slowed down as the ball bounced about five feet behind him to deliver the tie-breaking run for the Athletics.
But the Mets couldn't deliver the additional run from third, and the club's offense without opportunism was again in its full treadmill stride.
George Canale delivered the first run by crushing his second career home run into the right field upper beck on a 1-0 pitch in the third.
Bernie Williams delivered the first run as he flied out to center field to score Mattingly.
Jorge Cantu's one-out single delivered the first run.
A groundout by Dave Magadan delivered the run in less than dramatic fashion.
Eckstein's double off the glove of a diving Craig Monroe in the eighth delivered the decisive run.