He posted a link to a third-party stream of last night's fight on his personal Facebook page.
"It doesn't bother me one bit ... as soon as they fine me, I will make it my personal mission to stream every event."
Sky charged $39.95 to view last night's fight, which was also available on its Fanpass platform.
Sky's website crashed last night, leaving some frustrated fans unable to book to watch the event.
Eight people, all based in New Zealand, face nominal fines of $2670 each for breach of copyright for the streaming of Kiwi heavyweight Parker's victory over Australian Solomon Haumono in Christchurch in July.
Bryant said Duco were "shooting themselves in the foot", and that there were "heaps" of illegal live-streams available for last night's fight.
"If Duco didn't make a big deal about it in the first place people wouldn't be doing it. They are only punching themselves."
Duco chief executive Martin Snedden was blunt in his dismissal of Bryant's comments.
"The guy's wrong. In our view it is out-and-out theft, and people are starting to get the message that the risk isn't worth getting involved.
"We know we can't eradicate this, but we're getting better at running interference."
Snedden said increased co-operation from Facebook was enhancing their efforts to crack down on live-streaming.
"The big change is we now have the engagement and full support of Facebook, which has significantly increased our ability ... to take immediate action."
He said there will be a second wave of court proceedings filed against people who streamed last night's Parker-Dimitrenko fight.
