The 63-year-old former England boss was in charge of a calamitous campaign in France, which saw Australia fail to reach the knockout stages for the first time in their history.
During the tournament it was reported that Jones had held talks to take over Japan for a second time, despite being less than one year into a five-year contract which was set to expire after the 2027 World Cup.
Following the reports, Jones told the Sydney Morning Herald on Sunday: "(I) gave it a run. Hopefully be the catalyst for change.
"Sometimes you have to eat s**t for others to eat caviar further down the track."
There was no confirmation from Rugby Australia on Sunday morning.