Fish was up a break at 4-3 and held serve only after going 0-40 down, saving the first chance with an excellent lob. Serving for the match, Fish saved a break point before a long rally on match point ended with Fish wrongfooted by Wawrinka's forehand winner.
Wawrinka made it 5-5 when Fish sent a forehand long, but dropped serve to give Fish a 8-7 lead on his third break opportunity.
In a fluctuating final game, Fish trailed 15-40, won three straight points, then wasted a second match point when Wawrinka unleashed a backhand service return down the line. Fish's 14th ace created a third, and decisive, match point to give Courier's team a perfect start.
"I'm obviously proud of the guys," Courier said. "But we have a long way home to win that third match out of five."