Don't Follow Me, I'm Lost, Too features a husband-and-wife team who write gossip columns for a New York City tabloid.
Parker has been looking for a play for her and her husband to star in since her Sex & the City stint ended.
A theatre executive says, "She's been saying to producers and theatre owners, 'Find us a play!'"
Parker took part in a staged reading of the play on Monday which was attended by a select group of Broadway insiders.
In the comedic play, written by Douglas Carter Beane, the couple creates non-existent celebrities who attend non-existent parties. Things begin to spin out of control when movie studios try to track down the fake celebrities to star in films.
Beane says, "It's all about the wonderful world of tabloid journalism and celebrity culture."
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