Tony Trenkle, CIO of the Centers for Medicare and Medicaid Services

Has the fumbled rollout of the federal Obamacare site finally claimed its first head?

The IT chief for the agency responsible for Obamacare is leaving to take a job in the private sector, five weeks after the much-criticized launch of HealthCare.gov.

Officials repeatedly refused Wednesday to answer whether Tony Trenkle, the chief information officer of the Centers for Medicare and Medicare Services, was forced out of the job that he has held for three years because of the tech issues with the Obamacare marketplace.

"Tony made a decision to move to the private sector," CMS spokeswoman Julie Bataille said during a conference call the second time a reporter asked if Trenkle was asked or pushed to leave. His departure is effective Nov. 15.

Bataille began the call by noting that HealthCare.gov was "performing slowly" Wednesday despite ongoing tech fixes.

Trenkle's boss, Health and Human Services Secretary Kathleen Sebelius, has repeatedly rebuffed Republican calls that she resign because of the glitch-plagued launch of HealthCare.gov.

On Wednesday, she again promised a Senate committee that HHS would release enrollment data from HealthCare.gov for the first time next week.

(Read more: Sebelius: Shutting down Obamacare Web site for fix won't work)