Matt Dumba had a goal and an assist, and Matias Maccelli had two assists for the Coyotes (23-27-4), who are 0-8-1 in their past nine games. Karel Vejmelka made 33 saves.
"It's extremely frustrating because we want to win. We want to win. It's not a league of feel-good, it's not a league of excuses. We want to win for our fans,” Arizona coach André Tourigny said. “I'm super proud of the way the guys worked. The guys, they battled. They took the lead and we came back. We played hard. ... We did a lot of good things and could not seal the deal.
“It's looks like we're in that kind of a slump right now where whatever we do, there's always a bad bounce or something, but (I'm) extremely proud of the effort of the boys.”
Ross Colton gave the Avalanche a 1-0 lead at 4:10 of the first period, receiving a return pass from Miles Wood as he cut to the net before scoring five-hole past a screened Vejmelka.
Dumba tied it 1-1 at 7:48 on the rebound of Alex Kerfoot's initial shot.
"We had lots of conversations over the last few days and weeks, it's just about going out there and doing it. We got to ramp up the intensity, the work ethic, details of our game,” Kerfoot said. “Can't be too focused on the results. Just go out there and play to the level that we're capable of and see where the chips fall.”
Lawson Crouse gave Arizona a 2-1 lead with a power-play goal at 12:20 of the first. He kicked Maccelli’s centering pass to his stick before beating Georgiev blocker side from the slot.
Johnson tied it 2-2 at 5:20 of the second period, skating down the right wing and scoring with a wrist shot under the glove of Vejmelka.
“I got the room out there, and I was just trying to gain the middle of the ice to give myself some options,” Johnson said. “[Josh Manson] was my partner out there, and it looked like they were going to duplicate on him, and they got their wires crossed a little bit up top. So, it allowed me to have a clear lane to the net.”