Quincey agreed to terms on a one-year contract with HIFK Helsinki (Finland) on Tuesday.
Quincey was designated for waivers Wednesday.
Quincey, whose absence from the past two games can be attributed to a minor (undisclosed) injury, will return Saturday for a home game against the Blackhawks, Michael Russo of The Athletic reports.
Quincey had an assist and two hits in 16:21 of ice time in Thursday's win over Chicago.
Quincey signed a one-year, $1.25 million contract with the Wild on Saturday, TSN reports.
Quincey picked up a goal with a plus-1 rating, a minor penalty and a hit in Sunday's 3-2 loss against the Blue Jackets.
Quincey will watch Tuesday's game against the Devils from the press box, per Tom Reed of The Columbus Dispatch.
The Devils traded Quincey to the Blue Jackets on Wednesday in exchange for fellow defenseman Dalton Prout, The Columbus Dispatch reports.
Quincey will be held out of Monday's tilt with Montreal, Mike Morreale of NHL.com reports.
Quincey (upper body) will make his return to the lineup Tuesday against Ottawa, Andrew Gross of The Record reports.