Reigning world champions Germany were dumped out during the group stages after a horror showing in Russia.
They lost their opening match to Mexico before a last-gasp winner against Sweden kept their hopes alive.
But a 2-0 defeat to South Korea in the third group game sealed their fate and sees them heading home early.
Low’s future has been called into question despite signing a new deal before the start of the World Cup.
And former Germany captain Ballack reckons the DFB made an error in putting the new contract in front of Low before the tournament.
“Big tournaments are fixed points for each country,” he told Betfair.
“After a European or World Cup, you can judge the work that has been done in the previous two years. Which way did we go? Was it a move in the right direction?
“Friendlies and tournament qualifiers for a footballing nation like Germany are not proper indicators of the state of our team.
“For this reason, it was unnecessary to give Joachim Low a four-year contract extension just four weeks before the World Cup started.
“The DFB have not presented themselves in a good light, both before and during the World Cup.
“Problems arose, but they were not dealt with and communication from the DFB has been poor, they seemed too comfortable going into the tournament, despite the contract extension and the and the Recep Tayyip Erdogan story.
“Now the people responsible for all this are under massive pressure.
“Whether Low is still the right person to manage this team, I cannot say. In my experience, he was a really good coach who could give even weaker teams a clear plan and identity.
“Today, the coach and team have to be put under serious scrutiny. That’s for sure.”