How soon can I list a rental property (Texas)

[Joshua Rolfe]

We are closing on a property that we have a contract on in a week.  The property is ready to rent and we want to get a renter vetted as soon as possible.  Even though we don't have the title yet (cash deal) can we post the property for rent now on zillow, hotpads, craigslist etc?  Or do we have to wait until close?  Property is in Texas.