The Coyotes said they felt they established control in the second period, but Drew Doughty stole the puck from Derek Stepan in the neutral zone seven seconds into the third period, and Brown skated in from the Kings' side of the red line to beat Kuemper short side from the bottom of the right face-off circle.
"I think we were all over them in that second period," Chychrun said. "We felt like our legs were there and we felt like maybe theirs were getting a little tired, so we wanted to go out for a big third. Obviously, that's not the way you want to start a period, so we were kind of behind the eight ball in that third period."
Arizona's Nick Cousins had an apparent goal at 12:05 of the second period waved off because of incidental contact with Quick.
Muzzin tied it 1-1 at 18:39 of the first period when his shot deflected off the sticks of Cousins and Josh Archibald before going in off Niklas Hjalmarsson's cheek.
Kuemper said it was "just a weird goal."
"There's nothing you can do about it," Chychrun said. "You just got to move on from it. Those bounces are going to happen. It's the way you respond."
Brown said it was the kind of bounce the Kings had not been getting during their poor start to the season and was needed to overcome a poor performance.
"Tonight, we have to be honest with ourselves that we weren't very good, especially in the second," Brown said. "We were lucky to get out of it, whereas the other three previous games, I thought we played a really solid 60 minutes. But we found a way to win, and, again, that's something our team needs to learn how to do. Sometimes you're not going to win every game, or you shouldn't win some games, and good teams find ways to win those."
Chychrun gave the Coyotes a 1-0 lead at 15:27 of the first period, scoring his second goal of the season with a slap shot over Quick's left shoulder. Both of Chychrun's goals have come on the power play, and he has scored five of his 13 NHL goals with the man-advantage.
