Kansas City benefited from a mental error on the part of Evan Gattis. After Alcides Escobar singled to start the fourth, he thought better of a stolen base attempt and started to go back to first base, but Gattis hesitated on the throw and allowed Escobar to get back to first safely.
Three batters later, Jeff Francoeur drove in Escobar with a single for the only run of the game.
"We talked about it in the dugout," Gonzalez said on braves.com about Gattis' indecision. "He's got to give it up a little bit sooner than he did. That's part of learning the speed of the game up here in the big leagues. That's a learning moment for him."
Otherwise, Minor was solid. He gave up the lone run on five hits through six innings while striking out five.
"When I gave up that run, I wouldn't say it was stupid, but it was just a bad pitch," Minor said. "I was kind of [upset], because I knew it was going to be a close game just by the way the game was progressing. We weren't getting a lot of hard-hit balls. We weren't hitting [Davis] really well."
The Braves also had trouble with getting their bats going against Wade Davis. Jason Heyward's double in the sixth was their first baserunner to advance as far as second, and he shut the Braves down over seven innings.
Atlanta's best chance to score came after Juan Francisco singled with two outs in the seventh. Chris Johnson popped a ball up to shallow right field, which turned into a double after a diving attempt by Francoeur and rattling around behind the tarp. Third base coach Brian Snitker sent Francisco home, but he was thrown out by Chris Getz.
"You've got to make plays," Gonzalez said. "The way the game is going, he's got to pick [the baseball] up and make a good throw to the plate, and [Royals catcher Salvador] Perez has got to make a good catch and make a tag. They did that. So I thought it was a good send."
The Braves now turn around after their two-game set for a 10-game road trip, starting with the Pittsburgh Pirates on Thursday.
Atlanta, Atlanta Braves, Juan Francisco, Kansas City Royals, Mike Minor, MLB, Wade Davis