Until the postal strike that has hit the Kirkcaldy area is resolved, there is no prospect of interviews being held.
"We will read the applications carefully and either advertise or go for an individual we think is best suited," Billy McPhee, the club's general manager, said.
The caretaker management team of Jimmy Thomson and Jim McInally are in contention, and Steve Archibald, the East Fife manager, is thought to be among the front-runners. But it is unlikely there will be an appointment before next Saturday's Tennent's Scottish Cup fourth round tie against Celtic.
Rangers will again be without Richard Gough and Gordon Durie for their Scottish Cup match at Clyde on Thursday.
Gough missed Saturday's win over Motherwell with a back injury. He is very unlikely to be fit by Thursday but should be able to play against Aberdeen in the League on Sunday week. Durie will be out for three or four weeks after a recent hernia operation but Alex Cleland is expected to have recovered from a groin injury by Thursday.