The Australian Open quarter-finalist has decided to miss next weekend's tie as she looks to manage a busy schedule.
The 16-year-old Charlotte Robillard-Millette will replace Bouchard, joining Francoise Abanda, Gabriela Dabrowski and Sharon Fichman in the Canada squad.
"Of course we are disappointed that Genie is unable to be available for this tie and we know her fans in Quebec City will be disappointed as well," said Tennis Canada chief executive Kelly Murumets.
"However, Genie wants to be the best in the world and win Grand Slams and she needs to make the right decisions for her schedule and her training to give her the best opportunity to achieve that. Tennis Canada is fully supportive of Genie as she strives towards her goals."