The practices ran from mid-November through mid-December and included Matthews, McDavid, Chicago Blackhawks forward Jonathan Toews, Minnesota Wild defenseman Matt Dumba and Florida Panthers forward Anthony Duclair.
"It started out as a place where junior players like my son, Josh, could work out," Doan said. "They didn't really have places to play. When some of them started leaving, the NHLers came in."
Matthews grew up in the Phoenix area and idolized Doan, who began his NHL career with the Winnipeg Jets but played 20 seasons with the Coyotes after the Jets relocated to Arizona before the 1996-97 season. Matthews has become friends with Doan, which is how he became aware of the available ice time.
McDavid was looking for a way to stay sharp, and his agent, Jeff Jackson, suggested heading to Arizona. McDavid and Matthews are represented by the same agency, Wasserman Sports & Entertainment.
Judd Moldaver, Matthews' agent, said it was easy to bring together two of the top players in hockey.
"They knew each other dating back to the 2016 World Cup of Hockey when they were teammates with Team North America," Moldaver said. "I wouldn't call them besties, but they're good friends and they had a great time. There were rounds of golf, dinners and, of course, the time on the ice."
They drove each other relentlessly to make each other better. In McDavid's case, one of the focal points was learning about Matthews' quick release.
"Everyone's a good player," McDavid said. "You've got to be always growing your own game. I definitely worked on my shot. Being able to spend time in Arizona was something I valued a lot, and I definitely learned."
Matthews said, "It's no secret that he is a special player. He's the best player in the League for a reason, so I thought it was great being able to spend some time with him, being on the ice. Just being around him, he's a great guy. We really enjoyed ourselves."
So did Doan.
"I was in the NHL a long time, and to see Connor skate full speed and stick-handle the way he can, to see the way Auston can shoot, well, to say it was impressive was an understatement," he said. "And they pushed each other. They competed hard against each other in every drill and were trying to absorb information from each other. Very, very special players."