It's a decision that clears the way for incoming head coach Jurgen Klopp to lean on his experience once his own appointment is finalised.
Völler had been considering stepping down after Germany's early World Cup exit, which came via a last-16 penalty shootout defeat to Paraguay and prompted the resignation of head coach Julian Nagelsmann just days later.
Speaking to reporters on Tuesday, Völler confirmed he had decided to stay on.
"I'm continuing," he said. "What matters is sporting success, and I have to face up to that too. For me it was about whether it still makes sense, whether I'm still wanted."
The 66-year-old, who won the World Cup as a player in 1990 and served as national team head coach between 2000 and 2004, has held his current role since late 2022. His contract runs through to the end of the 2028 European Championship.
Klopp, the DFB's designated new head coach, made clear in comments to Magenta TV that he wanted Völler to stay on regardless of how his own move to the federation plays out, given his own lack of background in international management.
"If it comes to that, it would be helpful to have someone there who knows the processes and everything," Klopp said. "Rudi on one side with his football experience, and on the other with his many years working within the federation - where I, if I were to take the job, have no experience whatsoever. I've neither played for the national team nor coached it at any point."
Although negotiations over Klopp's move from Red Bull, where he currently serves as head of global soccer, to the DFB are far from complete, the 59-year-old is already heavily involved in planning for the role, and spoke to Völler directly by phone to encourage him to stay on, a call that appears to have played a significant part in Völler's eventual decision.