Kesler, 29, has two-years left on his contract beyond this season, but owns a no-trade clause and must approve any deal the Canucks try to complete.
TFP received information, further to Jean's report, that Kesler asked the Canucks to trade him earlier in the season.
However, when contacted by TFP late Wednesday night, Kesler's agent, Kurt Overhardt, denied his client asked to be traded and called the reports "BS."
It was reported earlier this week that Canucks GM Mike Gillis has been fielding calls for Kesler and shopping defenseman Alexander Edler, who also owns a no-trade clause.
Several teams will have significant interest in Kesler, though many will be kept out of the sweepstakes if they're not on his list of acceptable clubs.
Kesler is battling a hand injury and if it is proven that his hand is broken, the Canucks may not be able to trade him by the March 5 deadline.
If Kesler remains with the Canucks for the remainder of the season, the Canucks will explore a trade in the summer, likely in and around the NHL Draft in late-June.
The Michigan native has played in 60 games with the Canucks this season and has recorded 20 goals and 18 assists for 38 points, along with 63 penalty minutes.