In a statement released on Friday, the club said the hunt for Pedro Caixinha's replacement will continue beyond the next seven days.
It is 15 days since the Portuguese coach was sacked with speculation centring on Aberdeen boss Derek McInnes as the likely first choice of the Gers board.
Graeme Murty has been handed the first-team reins on a caretaker basis, leading the club to wins over Hearts and Partick Thistle.
Rangers say a number of applications have been received and they anticipate more arriving next week.
The statement read: "The club confirms that since the departure of Pedro Caixinha it has received numerous applications for the now vacant position and is anticipating further applications by the end of next week.
"The club will then consider all viable options available to it. At this time the Club has not interviewed any candidate and will take its time to ensure that the best possible decision is made."