Like 31-year-old Hunt, Podsiadly is an unrestricted free agent and the 32-year-old is keen to extend his AFL career.
"Going forward I'm currently exploring further playing opportunities," Podsiadly said in a statement on Thursday.
"I will always appreciate how the Geelong members, supporters and staff embraced me from day one.
"Over the last five years I've met some great people, been coached by some terrific coaches and played with the most professional, determined and selfless players. They have all made me a better player and person."
The future of Geelong triple-premiership player Paul Chapman, 32 in November, remains up in the air.
Podsiadly was drafted as a mature-aged rookie in 2009, and became a cult hero while kicking 100 goals in his first two AFL seasons.
He took the long path to an AFL career, with stints at Essendon (2000-2001) and Collingwood (2002) before becoming a dominant VFL player while with Werribee.
He then switched to Geelong's VFL side as both a player and fitness coach in 2009, made his debut the following year and was part of the Cats' premiership side in 2011.
"He took an opportunity when most people would have given up the AFL dream and turned that opening into a great success," Cats coach Chris Scott said.
"He was critical in our 2011 premiership and worked well with the younger players coming through the system.
"Regardless of where the future takes him, Podsy will always be a Geelong person and will hold a special place with his teammates, coaches, staff and supporters."