The staging will mark the world premiere of Sharr White's new play.
To be directed by Tony Award winner Daniel Sullivan, the strictly limited 11-week engagement will begin previews Oct. 1 and open Oct. 24 at MTC's Samuel J. Friedman Theatre.
Parker returns to the Friedman stage where she previously starred in Craig Lucas' "Reckless" for which she earned a 2004 Tony Award nomination.
"The Snow Geese" also reunites Parker with Daniel Sullivan, who directed her in David Auburn's "Proof," for which both Parker and Sullivan were presented with Tony Awards for their work.
"With World War I raging abroad, newly widowed Elizabeth Gaesling gathers her family for their annual shooting party to mark the opening of hunting season in rural, upstate New York," a synopsis of "The Snow Geese" said. "But Elizabeth is forced to confront a new reality as her carefree eldest son comes to terms with his impending deployment overseas and her younger son discovers that the father they all revered left them deeply in debt. Together, the family must let go of the life they've always known."
MTC produced the acclaimed Broadway premiere of White's play "The Other Place" this past winter.