Unbeaten in the 2016 tournament so far, Les Bleus topped Group A with seven points, and will play a third-placed team from either Group C, D or E in the Round of 16 game on Sunday.
"When things are going well on the pitch, it is because I know I have the coach behind me," Payet told UEFA's official website on Tuesday (www.uefa.com).
"The fact he has won everything going is the advantage that he brings us. He knows exactly what it takes to win as he has been there before. We know how precious his advice is and how much more so that will be as the tournament goes on."
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
The 29-year-old, who scored two crucial goals in the group stages, said midfielder Paul Pogba and striker Antoine Griezmann remained the hosts' most influential players, even though many regard the West Ham United midfielder as the side's best player in the tournament so far.
"People will still talk about Antoine Griezmann and Paul Pogba. We saw them in the game against Switzerland, and they are the ones to be counted on," he said.
"We need those two players. They can guide us through and deep into the competition."
(Reporting by Nivedita Shankar in Bengaluru,; Editing by Neville Dalton)
