Godley (2-1) allowed two hits and two runs in 6 2/3 innings.
Chapman threw 18 pitches against minor leaguers Saturday at the Yankees' complex in Tampa, Florida.
The surprising Diamondbacks won for the 11th time in their past 12 games at Chase Field, where they are 26-9 this season. He dealt with a minor ankle injury during the early stage of past year but ended up playing 156 games. Early in his career, his changeup was his go-to pitch, his bread and butter. The Diamondbacks did record a single and four walks off of Guerra in those first three innings, but none of them scored.
Goldschmidt said that, all season, the D-backs' pitching has picked up the offense, "And we've been able to have some big innings". Gregor Blanco tripled and scored on David Peralta's single, and Brewers reliever Jacob Barnes walked two to load the bases around Chris Owings' sacrifice fly.
Match that with Greinke's current streak of seven wins in his past eight decisions, and the Diamondbacks are becoming one of the few staffs with two certifiable aces. He is the first Diamondbacks pitcher with double-digit strikeouts in three straight games since Randy Johnson's four-game stretch in 2004.
Paul Goldschmidt's grand slam in the eighth against Rob Scahill helped secure what for six innings was a tightly played game. Brinson arrived in the Milwaukee farm system as the centerpiece of the Jonathan Lucroy deal between the Brewers and Texas Rangers at last year's trading deadline.
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- This is the 10th series win for the D-backs in 2017.
Milwaukee didn't score until Keon Broxton homered in the ninth off Silvino Bracho. Bracho's ERA is now 9.00.
Junior Guerra (1-1) permitted three runs on five hits in six innings in a strong outing for Milwaukee.
Goldschmidt, who entered the game a.391 career hitter against Milwaukee, has reached base safely in 36 straight home games, one shy of tying Stephen Drew's club record.
"He's locked in. He's been extremely good". Every player, every pitcher, everybody in this game and any sport that you play looks to be in the zone. "They're ready for their moment".
Perez put the Brewers in front again 4-3 with his eighth home run, a solo shot with two outs in the top of the fifth. He only trails Luis Gonzalez, who has 224. The son of Yankees first base coach Tony Pena, he was batting.500 with two home runs in five games. Cespedes will not start the second game Saturday but could be available to pinch-hit. With Chase Anderson set to face Robbie Ray in the pitching matchup, the over/under now sits at 8.5 runs, down from the original number of 9.5.