The Chicago right-hander missed a chance for a win when San Diego tied the game in the ninth inning, but the Cubs still came out winners on Reed Johnson's game-winning homer in the 11th for a 2-1 triumph in the opener of a day-night doubleheader at Wrigley Field.
"As long as we get that big one, that big W that goes on our side," Garza said. "Any way we can do it, I'm all for it. If I don't win a game all year, but we win my games it doesn't bother me one bit."
Run support has also been lacking for Padres starter Dustin Moseley, who hasn't had a run scored on his behalf in 25 2/3 consecutive innings.
"It happens," Cubs manager Mike Quade said. "In the long run, just pitch good and believe that the support will come."
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Johnson's first homer of the season came off Luke Gregerson (0-1), the fifth Padres pitcher.
The Cubs led 1-0 when Garza left after six innings. He scattered six hits and walked three while striking out nine -- and even scored the Cubs' first run, on a single by Marlon Byrd in the third inning.
The Padres tied the game in the ninth against closer Carlos Marmol, when Cameron Maybin walked, stole second and went to third on a bunt single by Will Venable. Maybin scored on Jason Bartlett's sacrifice fly.
Reliever Jeff Samardzija (1-0) worked two innings for the victory.
Chicago missed a chance for more runs in the third inning. After Garza scored, the Cubs loaded the bases with two outs when Aramis Ramirez walked. Carlos Pena grounded out to end the inning, leaving the Cubs clinging to a 1-0 lead.
The Padres threatened in the sixth when Garza walked the bases loaded with one out, but he escaped the jam by getting Brad Hawpe to ground into an inning-ending double play.
Quade pulled Garza after six innings and employed three relief pitchers in the seventh to prevent the Padres from scoring. Left-hander Sean Marshall walked Orlando Hudson to load the bases with two outs before getting Chase Headley to ground out with a full count.
San Diego loaded the bases with one out in the 11th, but Headley and Hundley each flied out to end the threat.
The Cubs left 10 men on base while the Padres stranded 16.
- Fukudome was out of the starting lineup, but the outfielder entered the game in the seventh in right field. His wife delivered a baby girl, the couple's second child, on Tuesday in Chicago.
- Tuesday's rainout was the first of the season for either team. Conditions on Wednesday were overcast and dry with temperatures in the 40s.
- With a Thursday home game with Philadelphia, the Padres planned a quick departure from Chicago following the conclusion of Wednesday's doubleheader.
- Cubs leadoff batter Starlin Castro, who came into the game leading the majors with 29 hits, went 0 for 5.