The 46-year-old, who has played Carrie Bradshaw in six TV series and two movie installments of the romantic comedy franchise, thinks there might still be an important story to tell.
She said: 'I think there is perhaps one more small, important story to tell. Whether or not we choose to do that and when we choose to do that remains, obviously, the unknown, but it's nice to ponder.'
It has been reported a prequel to the TV show called The Carrie Diaries may be made - and Sarah says she would consider someone else playing her character.
Parker added: 'I think it always comes down to story and what is the story people want to tell.
'Obviously, I feel proprietary in the best possible way about that entire franchise as it were, but I think there are lots of talented storytellers and obviously lots of talented actors who might be a part of it.
'I think, like anything, you base your opinion on material and content, and I think that would be the only way for any of us to have an opinion.'