Joe Sakic gave Colorado another lead in the second when he scored his first goal of the preseason. He beat Aebischer for a power-play goal just six seconds after a hooking penalty on the Coyotes' Peter Mueller.
Niko Kapanen tied it again for Phoenix at 11:29 in the third.
Mikael Tellqvist started the game in net for Phoenix and stopped 17 shots before being replaced by Aebischer midway through the second.
Colorado killed all five Phoenix power plays.
Copyright by STATS LLC and The Associated Press
Arena: Pepsi Center Location: Denver, Colorado
Tyler Arnason Assist: Wojtek Wolski, Ian Laperriere
Steven Reinprecht Assist: Ed Jovanovski, Mathias Tjarnqvist
Joe Sakic (power play) Assist: Andrew Brunette, Paul Stastny
Andrew Brunette Assist: Jaroslav Hlinka, Jordan Leopold
Niko Kapanen Assist: Daniel Carcillo, Zbynek Michalek