Löw announced Tuesday he will be stepping down from the role he has held since 2006.
Dresden-born Leistner jumped into the stands following their 4-1 loss in the first round and climbed the steps to confront a spectator.
Borussia Dortmund captain Marco Reus could be charged by the German football federation after he sat on the touchline while serving a suspension.
German football federation director, Oliver Bierhoff on Tuesday, said he was not interested in replacing Reinhard Grindel as president.
In a statement on Friday, the Frankfurt prosecutor’s office said it had also filed a request to involve the DFB in the criminal proceedings which could lead to fines.
The 2022 World Cup will not be held in Qatar because of the scorching temperatures in the Middle East country, FIFA Executive Committee member Theo Zwanziger said on Monday.