"It's goofy. I don't know where (the rumours) came from," Davidson told the paper.
"I have not talked to the Flames. I've had no conversations with them whatsoever. Fact is, we have a new owner who has been here two weeks and I don't know if he wants me to stay, so I have to look at all my options.
"I have a window in my contract that allows me to seek employment elsewhere after an ownership change. I owe it to my family to look at that, as all indications with the owner not making his mind up are I have to take advantage of that window."
Davidson, who grew up in Calgary, could return to broadcasting, or join another organization, or retire.
The Sun reports Davidson could leave the Blues and take six-to-12 months to decide what he wants to do.
Davidson said his “window isn’t long” but he may end up leaving and taking six months or a year to decide what he wants to do.
Flames president Ken King also dismissed reports, telling the Sun that, "No discussions have taken place with John from anyone in our organization."