A pair of players, both represented by agent Darren Ferris, have asked for a change of scenery.
Bennett, 24, has played seven games this season for the Flames, including Saturday night's 2-0 win over the Montreal Canadiens. Bennett has a lone assist.
In 371 career games, all with the Flames, Bennett has 63 goals and 129 points.
Flames head coach Geoff Ward was asked about the possibility of his forward being traded after Saturday night's victory.
"He's a member of our team. So as far as anything else goes, that's between his agent and (Flames GM Brad Treliving),'' Ward said.
"But he's a member of our team. He's a valued member of our team. He had a good hockey game tonight. So we'll just continue on, business as usual, and build off what he was putting out on the ice tonight. It was a good hockey game.''
Mete, 22, has yet to suit up for the Canadiens this season. In 171 career games, Mete has four career goals and 31 points.
A request for comment to the Montreal Canadiens was not immediately returned.
This report by The Canadian Press was first published Jan. 30, 2021.