Aliou Cisse's men returned to the quadrennial event after a 16-year absence and will be aiming to better their record of a quarter-final exit when the tournament begins in June.
“I’m very proud because 15 million people in Senegal are behind us. I am the captain and my people are behind us, so I need to lead my team," Kouyate told club website.
“It won’t be easy, though, as this is a World Cup and every game is hard. Every game is a final and we are going there to give our best, because all of Senegal are proud of the team. Everybody in the country loves football.
“This will be my first World Cup, and the same for my teammates, but first I have to think about the end of the Premier League season and saving West Ham, and only then can I start to think about the World Cup.”
Senegal who finished at the summit of their qualification group - ahead of South Africa, Burkina Faso and Cape Verde, will lock horns with Poland for their Group H opener at the Otkritie Arena on June 19.