"If somebody in your life, whether you're in touch with them or not, [is] suffering for any reason, it's involuntary that you want to convey condolences or sadness or just let someone know you're thinking about them," the 52-year-old actress explained.
Earlier this month, Parker admitted she was upset over Cattrall's comments last October that she was never friends with her Sex and the City co-stars and refused to do a third movie. Cattrall starred in the hit HBO series alongside Parker, Cynthia Nixon and Kristin Davis from 1998 through 2004 and also filmed two Sex and the City movies.
As for whether fans should still hold out hope for a third movie, Parker told ET that nothing is ruled out just yet.
"We've not had that specific conversation, but I mean, I think everybody's inclined to consider it," she shared. "In all sincerity, there has not been a real post-it not happening. There's really not been a substantive conversation."
"I think we all feel enormously lucky to have had the experience we had together -- Kim, Kristin, Cynthia and myself," she added. "hat's been really meaningful to us. Whether we get to tell another chapter of that story, I don't know. We'll see."
For now, Parker is focusing on her series, Divorce, noting that she's happy her family life is very different from that of her character's.
"I'm hoping [my kids] aren't quite as sullen or quite contrarian as my daughter is on the show, but thus far I've managed," she joked of her kids, son James and daughters Marion and Tabitha with husband Matthew Broderick. "I have a 15-year-old son, so I have to say up until this point, he's pretty manageable. We all have moods, right? But he's not been terribly problematic so far. But I have twin daughters and that I'm afraid of."
One other thing she's managing very well? Her fresh bangs!
"They're new. I'm trying to integrate," she sais. "I'm becoming accustomed. They're effort-ful."
Divorce airs Sundays on HBO. See more on Parker in the video below.