In a video obtained by Entertainment Tonight, Goodman, whose character is the husband of Barr's Roseanne, steered clear of commenting on Barr's racist tweet or ABC's decision to cancel the show, which was just starting preparations for Season 2.
In footage obtained by ET, Goodman addressed the situation, saying he would "rather say nothing than to cause more trouble", adding that "everything's fine".
She claimed she was joking, but then she deleted the tweet and issued an apology to Jarrett and "all Americans".
She also urged her critics to be fair, adding: "Please don't compare me2 other people who have said disgusting things".
The 59-year-old comedian also spoke with The Hollywood Reporter on Wednesday, and implied that Barr wanted her series to be cancelled. "I said look, someone has got to tell her that Donald Trump doesn't carry his own phone", he explained.
She likened Valerie Jarrett - a former aide of Barack Obama - to an ape and accused her of supporting the Muslim Brotherhood political party on Twitter, and later claimed that her use of the prescription drug Ambien was to blame for her post. "I've been up there  times already, and if I didn't get one, I'm not gonna get one".
Arnold, who was married to Roseanne from 1990-94, said the drama could have been avoided if someone kept Roseanne's phone away from her, but nobody was successful-or, perhaps, courageous enough.
Iger, where is my call of apology?
Barr's response to some of the other cast members' reactions were not so kind. "I think that is why I am so glad to be here this evening talking with all of you".
"I am exhausted of being smeared-over a stupid mistake erasing 30 yrs of activism", she wrote. "I made a mistake I wish I hadn't.don't defend it please".
When the assistant returned after more than four hours, he was "really, really upset because she'd given him an apron, made him go outside in the heat and make burgers for him and some others". It was 2 in the morning and I was ambien tweeting - it was memorial day too - I went 2 far & do not want it defended - it was egregious indefensible.