Kazmir gave up three hits and two walks in his first spring appearance, on March 12, but allowed only a two-out single to Clint Barmes in the second. He struck out two in the first, two in the second and one each in the third and fourth before he left after four shutout innings.
Padres right-hander Odrisamer Despaigne gave up two runs on six hits in four innings, and Matt Wisler was roughed up for eight runs -- seven earned -- in the sixth.
San Diego got on the board in the top of the seventh, when Tommy Medica hit his second homer of the spring, a two-run shot.
Up next: Left-hander Drew Pomeranz will look to continue his strong spring when the A's face the Mariners at Peoria Sports Complex on Wednesday at 1:05 p.m. PT. Pomeranz has a 1.80 ERA and 10 strikeouts in five innings. Right-hander Erasmo Ramirez will start for Seattle.
Chris Gabel is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.