Damian Goddard was a host on Rogers Sportsnet. On Tuesday, he tweeted his support for hockey agent Todd Reynolds, who used Twitter to voice his opposition to Avery's position.
Goddard wrote: "I completely and whole-heartedly support Todd Reynolds and his support for the traditional and TRUE meaning of marriage."
The TV network then issued its own tweet, saying: "Today's tweet from Damian Goddard does not reflect the views of Rogers Sportsnet."
On Wednesday, it severed ties with Goddard.
In a statement, Sportsnet spokesman Dave Rashford said: "Mr. Goddard was a freelance contractor and in recent weeks it had become clear that he is not the right fit for our organization."
Avery, an agitator who is no stranger to making headlines on and off the ice, stated his support for same-sex marriage in a video that is part of the New Yorkers for Marriage Equality campaign, which is organized by the Human Rights Campaign, a gay-rights organization.