Kissinger was the only person to simultaneously be secretary of state and hold the position of White House national-security adviser.
The release coincided with the Israeli war cabinet meeting Wednesday night local time to discuss extending the cease-fire.
McFadden holds one of the senior-most positions within the agency and previously oversaw the production of the presidential daily briefing.
Argentina is home to the continent’s largest Jewish community, composed of more than 200,000 Jews.
According to Qatar, the exchange of hostages and prisoners will continue Wednesday, marking the sixth day that hostilities have been suspended.