A White House official didn't immediately respond to a request for comment. DelBene is the husband of Rep. Susan DelBene, a Democratic congresswoman from Washington.
Zients had been enlisted to lead the "tech surge" of HealthCare.gov, the federal website where people can sign up for health insurance under the Affordable Care Act.
DelBene announced his retirement from Microsoft earlier this year amid the company's big reorganization. He was president of the Microsoft Office division of the company. He has been with Microsoft since 1992.