It was up to the ARU to determine which Australian franchise would go - the Force and Melbourne Rebels the two in the firing line.
The ARU said earlier on Monday that a final decision on which team would be cut was to be made in the next two-to-three days but RugbyWA inferred it would take some time more than that.
"Initially we had particular concerns about the 72-hour deadline to respond (to the ARU), however we have now been advised that we will have further time to present our business case," the RugbyWA statement said.
RugbyWA encouraged people to get behind their 'Own the Force' campaign to "strengthen our negotiating position with the Australian Rugby Union to ultimately secure the ... Western Force in Perth.
"We urge all supporters who pledged their commitment to now consider becoming a shareholder of the Western Force Owners Ltd.
"In the meantime, we will work with our partners, staff and Government to develop the best possible business case to take to the ARU."