During Monday's edition of Dancing with the Stars, Chmerkovskiy sparred with Goodman when the judge branded the dance pro and partner Hope Solo's rumba as their "worst dance" of the competition.
"Everybody's putting a lot of effort in. Everybody on that balcony has been... killing themselves, only to hear your guys' little judgemental comments," Chmerkovskiy told Goodman.
The dancer clarified his remarks on Tuesday, claiming that he didn't intend to appear selfish by telling Goodman that he helped make the show a success.
Chmerkovskiy further discussed his war of words with Goodman during an interview on Good Morning America on Wednesday, saying that he has no regrets about confronting Goodman and Carrie Ann Inaba.
"I definitely have nothing to apologise for. I have nothing to apologise for to Len, and certainly not to Carrie Ann. She can make all the faces she wants. The last time I apologised was to my grandma when she was dying of cancer," he said.
Chmerkovskiy went on to say: "I don't regret anything. That's why I think I'm a bit misunderstood in this situation. Everyone is waiting for me to bow my head, take a knee and say I'm sorry and plea for forgiveness. I have nothing to apologise for."
The Ukranian-born Chmerkovskiy also explained that he doesn't consider himself to be the sole star of the reality series, but does wish that the professional dancers' contributions got more respect from the judges.
He said: "I love the show. I love the fans. I love every aspect of it and that was the whole idea behind what came out wrong with [my] 'my show' [retort to Goodman]. When I got on this show six years ago, I treated it as a dance competition and everyone here tried really hard to change my mind and say, 'Look Maks, it's a show, there are other elements to it', so I embraced it.
"One thing I'm not going to embrace is pointed fingers and disrespectful remarks. Why is it that the judges are allowed to compare us to animals and say stuff they think is funny when it's nothing constructive at all and we can't say that they're wrong, basically?"
Fellow Dancing with the Stars pro Derek Hough has commented that he was "surprised" by Chmerkovskiy's clash with the judges.
Dancing with the Stars airs Mondays and Tuesdays on ABC.
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Watch Maksim Chmerkovskiy and Len Goodman's argument below: