The diminutive forward, who made his AFL debut with the Crows at the age of 28 in 2011, is seeking a new home in the delisted free agency period (November 1-13).
If a suitor fails to emerge, Callinan will consider other playing, coaching and development roles, including the possibility of playing for the Crows' new SANFL side and filling a coaching role with the AFL side during the week.
The Tasmanian, who will turn 31 in December, said Crows coach Brenton Sanderson was "really keen" for him to remain with the club.
"I'm keen to do development, but he sees me as more of a coaching sort of person, so he wants me to tap into that during the year and see if I like it," he told SEN on Tuesday morning.
Callinan's three seasons with Adelaide netted 32 games and 49 goals. His best season was 2012 when he kicked 39 goals in 23 games in a team that played off in a preliminary final.
He revealed that his 2013 campaign was hampered by a knee injury that flared in the NAB Cup, a problem he didn’t reveal to the club because he feared it might cost him a place in the team and on the list.
"It's a bit frustrating. I'm not one for making excuses, but … I probably tried to carry that a bit and probably should have spoke up," he said.
"Coming off a good season you just want to keep playing, (but) I'm the one that made that decision."
The loss of key forwards Kurt Tippett to the Sydney Swans and Taylor Walker to injury had also "hurt" him, he said.
Twitter: @AFL_BenCollins