The fastest sale here is the one priced right, not the one sold for cash.
A relocation date, an estate to settle, a home you've already moved out of. A cash buyer answers the deadline by keeping the discount. The market answers it fast, and at the market price, for the home priced right on the day it lists.

Priced right, most homes go under contract in days, not months.
The share of sales that went under contract inside a week over the last 12 months, and how long the typical one took, for the places I work.
The order of work, not the standard.
The price still comes from the closed sales, not from what the date makes you willing to take. Preparation is trimmed to the few things that earn their cost in days, not weeks. The listing goes out with the full Corcoran marketing program from the first hour, because the first 2 weekends decide whether a home sells fast or sits.
If the date truly can't move, I'll bring you a written cash offer as a fallback and put the home in front of the market anyway. You'll see both numbers side by side, and the choice is yours.
Tell me the date.
Call or write with the date you need to be done by. You'll have a range and a plan for the calendar within a few days.