Crows General Manager List Management and Strategy Justin Reid thanked the trio for their contribution to the Club.
“Jordan, Myles and Ben have all made important contributions during their time with the football club and can be proud of how they have carried themselves,” Reid said.
“We wish them all the very best for the future.”
Gallucci played 27 games for the Crows after being selected with pick No.15 in the 2016 AFL draft.
Poholke, who was taken in the same draft at pick No.44, played 16 AFL games across four seasons.
Crocker arrived at West Lakes as a rookie last year and played seven senior games.
Adelaide has now made 10 changes to their playing list ahead of Season 2021 following September’s list changes, Bryce Gibbs’ retirement Rory Atkins, Brad Crouch and Kyle Hartigan during the recent free agency and trade period.
The Crows currently hold picks 1, 9, 22, 23, 40, 56, 66, 80 in next month’s draft.
They are also committed to recruiting Greater Western Sydney midfielder Jackson Hately via the pre-season draft.
Meantime, veteran David Mackay will play on next year after signing a one-year contract extension.
Mackay has played 230 AFL games since making his debut in 2008.