The NHL announced the finalists Tuesday night.
Chiarelli, a first-time finalist, guided the Oilers as they turned in their first 100-point season since 1986-87, a 33-point jump from last season, with a handful of trades.
Ottawa reached the Eastern Conference finals for the first time since 2007 in Dorion's first season after being promoted.
Poile's moves helped the Predators reach the postseason for the 10th time in 13 seasons, and Nashville reached its first conference finals. This is the fourth time Poile, who has never won this award, has been a finalist.
The NHL awards will be handed out June 21.