The deal is worth US$1 million.
Stanley, 25, had three points (one goal, two assists) in 19 games for the Jets during the 2022-23 season.
He also played in one playoff game for Winnipeg.
The Waterloo, Ont., native was a first-round pick (18th overall) of the Jets in the 2016 draft.
The six-foot-seven, 228-pound Stanley has 20 points (three goals, 17 assists) in 114 career games for Winnipeg.