Mbappe was named France captain to replace Hugo Lloris on Tuesday after the 36-year-old goalkeeper announced his international retirement in January.
Mbappe was given a specific task by coach Didier Deschamps.
"He wants me to be a unifier, to bring my team along with me. I am the link between the generations," Mbappe said.
"I'm captain of my country, it's something you can't shirk. It's a new responsibility. I'm going to take it on naturally, it's not going to change how I play, but maybe the way I behave."
Mbappe said vice-captain Antoine Griezmann had been disappointed by the decision. The 32-year-old forward has been a long-serving player for Deschamps, making his first appearance for his country in 2014.
"It’s an expected reaction. I told him I would have had the same reaction," Mbappe said.
"He is perhaps the most important player during the Deschamps era. I am not his hierarchical superior.
"He and I will be hand in hand to try to allow his team to impose itself on a global level. If he has something to say to the group, I’ll sit down and listen."
Mbappe, who has been capped 66 times and played a key role in the team's victorious 2018 World Cup campaign and their runners-up finish in 2022, said he would be different to Lloris.
"I don't think the coach made me captain because he thought I was going to do exactly the same thing as Hugo," he said..
Mbappe's first match as skipper will be on Friday when France face the Netherlands at the Stade de France in their opening Euro 2024 qualifier. They play Ireland away on Monday.
