After Bauers led off the second inning with a single, Mitchell lifted the first pitch he saw from Cabrera to deep center and off a fan above the home run barrier. The play was briefly reviewed for fan interference, but the homer was confirmed, giving the Brewers a 2-0 lead.
Turang, William Contreras and Bauers strung together three consecutive one-out singles in the third to extend the lead to 3-0.
Mitchell followed with a long fly ball to left that appeared destined for the seats, but Lourdes Gurriel Jr. leaped and snared the ball high above the wall to rob him of a three-run homer.
Corbin Carroll lined a single to right with two outs in the bottom of the third to put runners on the corners for Moreno, who grounded an opposite-field single through the right side to cut the deficit to 3-1.
After a walk loaded the bases, Arenado pulled a 2-2 pitch off the base of the wall down the left field line for a two-run double, tying the score 3-3. That ended the night for Harrison, who threw 38 pitches in the inning.
Photos: Brewers kick off lengthy road trip with series opener in Arizona
Arizona Diamondbacks pitcher Jose Cabrera delivers in the first inning against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Arizona Diamondbacks manager Torey Lovullo watches his team from the dugout as they play against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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Arizona Diamondbacks outfielder Corbin Carroll sprints to first base on a single against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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Milwaukee Brewers pitcher Kyle Harrison delivers in the first inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers outfielder Garrett Mitchell celebrates as he rounds the bases after hitting a two-run home run in the second inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers outfielder Garrett Mitchell celebrates as he rounds the bases after hitting a two-run home run in the second inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers outfielder Garrett Mitchell, right, celebrates with teammate Cooper Pratt after hitting a two-run home run in the second inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers pitcher Kyle Harrison delivers in the first inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Arizona Diamondbacks catcher Gabriel Moreno hits an RBI single in the third inning against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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Arizona Diamondbacks batter Nolan Arenado hits a two-run double against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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Arizona Diamondbacks third baseman Nolan Arenado hits an RBI double in the third inning against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Arizona Diamondbacks third baseman Nolan Arenado celebrates after hitting an RBI double in the third inning against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers pitcher Kyle Harrison looks on in the third inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Milwaukee Brewers catcher William Contreras fields a pop up in the fourth inning against the Arizona Diamondbacks on Friday at Chase Field in Phoenix.
Mark J. Rebilas, Imagn Images
Arizona Diamondbacks outfielder Lourdes Gurriel Jr. leaps to make a catch above the left field wall against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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Arizona Diamondbacks right-hander Jose Cabrera pitches against the Milwaukee Brewers on Friday at Chase Field in Phoenix.
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