Blatter's refusal has been met with disapproval. Andre Spicer, professor of organisational behavior at Cass Business School, said the decision indicated hubris.
"It seems his power has deafened him to even the loudest calls for him to leave. This is common when a leader has been all-powerful for some time," said Spicer in a press statement. "By not heeding all signs of failure, they can end up dragging their firm down with them."
It is time, Spicer warns, for FIFA's to start looking outside the organization on how to act and communicate.
"I think FIFA's biggest problem is hubris. They don't seem to have learnt anything at the moment," Spicer told CNBC in a phone interview. "They need to listen to criticism from outside, and show that they can change the root causes of their problems."
In contrast to Sepp Blatter, Volkswagen CEO Martin Winterkorn stepped down last week, just days after the German carmaker admitted to cheating on U.S. emissions tests. Around 11 million cars could be affected.
On Thursday, German prosecutors said there would be no formal inquiry against Volkswagen, according to media reports.
Read MoreVolkswagen: Political maneuvers behind the wheel?
Winterkorn's swift resignation, Spicer argues, shows Volkswagen is accepting responsibility for its actions and is trying to show that it is changing the root causes of its problems.
"One lesson (from the Volkswagen scandal) is you can do the wrong things for quite some time, but eventually you get caught," explained Spicer. "They did the right thing owning up to their problems. The danger is if they own up and then forget about it and in 3-6 months' time there's no discussion about it."