"Haven't been in the Beehive since Monday, so fortunately not with other MPs or staff while infectious," he said.
Parker is one of the Government's longest serving MPs, having sat in Parliament since 2002. He's currently Environment minister, Attorney-General, Revenue Minister, and Minister for Oceans and Fisheries. He has previously been Labour's deputy leader and interim leader.
Over the course of the pandemic, many MPs have had close shaves with the virus.
Tracey Martin, Chlöe Swarbrick, and Chris Bishop all isolated following trips overseas in the early days of the pandemic.
Prime Minister Jacinda Ardern recently isolated after being deemed a close contact of a Covid case.