The 38-year-old Canadian had his contract terminated earlier this week ... after the team said he violated the Blackhawks' internal policies over "conduct that is unacceptable."

The move came days after folks on social media spread a rumor that Perry hooked up with Bedard's mom, Melanie ... and the chatter got so loud, Blackhawks GM Kyle Davidson had to address the "wildly inaccurate" and "disgusting" claims.

Now, Perry is also speaking out on the situation ... and he, too, is confronting the false narrative head-on.

"As a result of my actions, there has been speculation and rumors," Perry said in a statement. "I am sickened by the impact this has had on others, and I want to make it clear that in no way did this situation involve any of my teammates or their families."

"Most importantly, I want to directly apologize to those who have been negatively affected and I am sorry for the additional impact to others it has created. My behavior was inappropriate and wrong."

While details surrounding the specific incident have not been disclosed, Perry was reportedly involved in an "alcohol-infused incident" with team staffers and corporate sponsors prior to getting cut.

Perry said he is now seeking mental health and alcohol treatment ... in hopes he doesn't repeat his actions moving forward.

"I hope to regain the trust and respect of everyone who has believed in me throughout my career," he added.