Arcia, who joined the team on Thursday, finished 1-for-4 in his first game.
"I was waiting for a good pitch, something in the middle of the plate, the entire game," Arcia said. "At 3-1, he threw me a fastball and I was able to hit it. I was a little anxious at first, but I was able to calm down and put the ball in play."
Center fielder Rico Noel scored Mexico's first run in the first inning, scoring on a single by second baseman Eric Farris. Mexico would not score again until the sixth, when Farris charged home from third on a sacrifice by shortstop Jose Manuel Rodriguez to increase the lead to 2-0.
But the resilient Venezuelan team rallied for two runs in the bottom of the frame, the first coming on a double by Padres shortstop Alexi Amarista that scored Orlando Arcia. Amarista scored on a double by right fielder Felix Perez to tie the game at 2.
First baseman Balbino Fuenmayor led off the bottom of the eighth with a single. Two outs later, Oswaldo Arcia's heroics proved to be too much for Mexico to overcome.
Jesse Sanchez is a national reporter for MLB.com. Follow him on Twitter @JesseSanchezMLB. This story was not subject to the approval of Major League Baseball or its clubs.