Peavy retired the 10 of the first 11 Dodgers, allowing only a second-inning walk to A.J. Ellis.
With Los Angeles down, 3-0, Gonzalez homered to center field.
Peavy allowed leadoff singles in the fifth (Skip Schumaker) and sixth (Crawford). But both times he retired the side from there and came off the mound talking loudly to himself, something that is his habit during games.
“I love it,” Saltalamacchia said. “He’s a fun guy to catch. He’s so competitive and into the game. It shows every time he’s on the mound.”