The New Zealander is one of 10 officials in the running to take charge of the tournament decider.
Conger was the man in the middle during Nigeria’s 2-0 win against Group D rivals Iceland and was fourth official during England’s round of 16 win against Colombia.
With Uruguan referee Andreas Cunha and Turkish official Cunyet Cakir already appointed for the semi-finals, FIFA is set to reveal their appointments for the final and third place playoff with the Kiwi in the running.
Conger, who refereed three A-League matches last season, is Oceania’s only on field representative at the tournament.
FIFA's referee shortlist for the final
AFC: Alireza Faghani;
CAF: Malang Diedhiou;
CONCACAF: Mark Geiger, Cesar Arturo Ramos Palazuelos;
CONMEBOL: Cunha, Nestor Pitana, Sandro Ricci;
OFC: Matthew Conger;
UEFA: Bjorn Kuipers, Milorad Mazic, Gianluca Rocchi.