The Ghost in the Shell star filed for divorce from Dauriac last month. The former couple tied the knot in 2014 and share a 3-year-old daughter, Rose.
"As a devoted mother and private person and with complete awareness that my daughter will one day be old enough to read the news about herself, I would only like to say that I will never, ever be commenting on the dissolution of my marriage," Johannson said in a statement to ET. "Out of respect for my desires as a parent and out of respect for all working moms, it is with kindness that I ask other parties involved and the media to do the same. Thank you."
Dauriac followed up with his own statement to ET, urging Johansson to keep the divorce battle private.
"It is indeed unfortunate, especially for our daughter, that Scarlett filed in court and made our personal differences so public," the French journalist said. "I would implore her to withdraw her action promptly and to go back, as uncomfortable as it might be, to the negotiating table."