Both women said Noth's return to the franchise had triggered memories of their experiences with him years ago
Show officially ended in 2010 after 4 seasons
51-year-old declared her candidacy with a two-minute campaign video posted on Twitter
Sarah Jessica Parker, had been known to have a difficult relationship with one of her three co-stars, Kim Cattrall
Parker gave no details about why the plans had been shelved but Cattrall shrugged off media reports