The Coyotes outshot the Sabres 30-15 in the second and third periods, and Arizona had the only shot in overtime.
"Down the stretch, they were the better team," Buffalo coach Ralph Krueger said. "We were actually pleased to get that to overtime. We raised our game again, pushed hard for the win and had the opportunity there. I would say the shot total was a result of our energy today, just not there where we need it for our 'A' game, and our game asks for a lot of movement, a lot of speed, a lot of skating, and I feel we hit a bit of a wall today."
Garland left the game at 10:44 of the third period after the puck hit him in the ear when Rasmus Dahlin tried to clear it from the Sabres zone.
"Tough spot. Just a bad bounce, turned right into it," Garland said.