Edler, 27, has a no-trade clause and will have a say on where he ends up, if the Canucks strike a deal.
Canucks GM Mike Gillis tried to trade Edler last June, during the NHL Draft, but came up empty, and Edler's no-trade clause kicked in July 1, 2013.
If Edler, who has an annual salary cap hit of $5 million, is moved, it's believed the Canucks want a top-six forward as part of a package in return.
The Detroit Red Wings and Montreal Canadiens were among the teams interested in Edler last summer.
On Monday, Gillis told The Team 1040 radio station in Vancouver that he is scouring the market for a center to play alongside Ryan Kesler, however TSN Hockey Insider Bob McKenzie indicated on Tuesday that Kesler, who owns a no-trade clause, could be moved. He also confirmed that Edler could also be on the move.
"There are multiple teams in the National Hockey League that are looking at veteran defenseman Alex Edler and veteran forward Ryan Kesler, and trying to find out are the Vancouver Canucks are serious about possibly moving these guys, and if so, what the price is going to be," McKenzie said.
TFP reported on Feb. 10 that teams had been calling the Canucks about Kesler.