Schneider, 27, posted a 17-9-4 record with the Canucks this past season, along with a 2.11 goals-against-average, a .927 save percentage and five shutouts.
The Canucks had been trying to trade Roberto Luongo, but weren't able to come to terms on a deal they deemed acceptable.
Schneider became available for trade on Saturday, it's believed, and several teams were in the mix, including the Edmonton Oilers and Philadelphia Flyers.
Schneider has played in 98 career NHL regular-season games with the Canucks, posting a 55-26-8 record with a 2.20 goals-against average, a .927 save percentage and nine shutouts.
He was originally drafted 26th overall by the Canucks in the 2004 NHL Entry Draft.