Maurício Ferro was an internal rival of the Brazilian conglomerate's former president, Marcelo Odebrecht.
Abu Dhabi's state fund Mubadala tried to buy a controlling stake in the Brazilian company.
The airport will not meet its original deadline of October 2020, the firm managing the project said.
Proceeds would be used to secure participation in future concessions.
The project for a road tunnel to Argentina was originally priced at around US$1.6bn and is currently awaiting the approval of Chile's social development ministry and the O'Higgins regional government.