Couture's winner gave the Sharks their second victory of the preseason just 32 seconds after the Coyotes were called for having too many men on the ice.
Oliver Ekman-Larsson gave the Coyotes a 1-0 lead with 9:52 left in the first when he got a wrist shot past Harri Sateri. Just 52 seconds into the second, the Sharks capitalized on a four-minute double-minor penalty to Chris Brown and tied it up when Freddie Hamilton quickly scored on a power play.
Jason Demers gave San Jose a 2-1 lead when he scored on a power play with 8:23 remaining in the second as he was able to skip the puck past Mike Smith. Phoenix evened the score with 31 seconds left in the second when Andy Miele converted a power play.
Sateri is trying to win a spot on San Jose's roster as the backup to regular goalie Antti Niemi. He made 24 saves and Smith had 23.
Copyright by STATS LLC and The Associated Press
Arena: SAP Center Location: San Jose, California
Referees: Dan O'Halloran, Dennis LaRue Linesmen: Brian Mach, Kiel Murchison
Attendance: 15,841 (90.5% full)
Team Stat Comparison
Power Play Goals
Power Play Opportunities
Shots on Goal
Oliver Ekman-Larsson (1)
(Power Play) Assists: Tim Kennedy, Chris Brown
Freddie Hamilton (1)
(Power Play) Assists: Logan Couture, Patrick Marleau
Jason Demers (1)
(Power Play) Assists: Patrick Marleau, Joe Pavelski
Andy Miele (1)
(Power Play) Assists: Chris Brown, Lucas Lessio
No scoring this period
Logan Couture (1)
(Power Play) Assists: Jason Demers, Joe Pavelski