Nick Cousins scored on Arizona's first attempt and Antti Raanta, who made 39 saves in regulation and stoned Sean Couturier at the overtime buzzer to force the shootout, stopped the first two Philadelphia shooters before Elliott suffered a lower-body injury making a save on Clayton Keller and had to be helped from the ice.
One more goal or one more save would have won it for Arizona. But Brendan Perlini fanned on his shot against Neuwirth and Voracek beat Raanta with a bullet off the crossbar to extend the shootout. Four rounds later, Patrick gave the Flyers their first shootout win of the year (1-4).
The Coyotes are 1-5 in shootouts this season. Keller, Perlini, Derek Stepan, Tobias Rieder, Niklas Hjalmarsson and Max Domi all missed for Arizona. Hjalmarsson, who hasn't scored a goal since coming to Arizona, seemed an odd choice but Tocchet said he did some heavy lobbying on the bench.
"He has this one move and he said (on the bench) that he guaranteed that he would score," Tocchet said with a smile. "Joe Namath."
The Coyotes allowed two power-play goals to Claude Giroux and Wayne Simmonds of the Flyers which ultimately did them in.
"They have a really good power play and had a couple of blown coverages on the goals," Tocchet said. "It's something we have to straighten out."
The Coyotes, who were 7-2-2- in their last 11 games against Philadelphia and going for their second consecutive season sweep of the Flyers, scored in the first four minutes of each period, put a quick goal on the board by cashing in a Shayne Gostisbehere turnover 3:53 into the game.
Stepan put a cross-crease pass on the stick of Jason Demers, who mishit the puck but got enough of it to bounce under the stick of Elliott and between the pads. It was the fourth goal of the season for Demers and his first in 23 games, dating to Dec. 23 against the New Jersey Devils.