Nonda went on national television after the country’s elimination by Malawi to ask that the former Guinea coach resign.
However, the French coach, who guided Guinea to the last eight of the 2006 Nations Cup in Egypt, has declared that he is not considering stepping down.
"I don't think Nonda's statement will have any impact on the future of my job, because the president of the FA had a talk with the players telling them that they should have confidence in me,” said Neveu.
"I also want to stay because I've submitted a project for the development of DR Congo football - I want to focus more on training local coaches and youth development."
He added: “Nonda is a player who I appreciate a lot and I understand that he may have been frustrated by my decision to drop him for the Malawi game but he is a professional who should know how a team works.”
Neveu has been in charge of DR Congo for the past seven months and the country’s cash-strapped FA cannot afford to buy out the remainder of his two-year contract.