The simplest way is for the buyer to purchase the property and allow the tenant to remain, at least until the current lease is up. Here's the short answer: you can definitely sell a Texas rental property with tenants.There are some extra hoops you'll need to jump through. Hi Caitlin, it depends on your lease. Yes you should cut out the realtor. You don't need one because you know the buyer and the seller doesn't need one since they know the property. Typically, Texas law mandates that landlords provide a 30day notice to tenants, informing them of the intention to sell the property. Texas homeowners looking to sell their homes should be on the lookout for the following signs that an offer may not be made with the genuine intent to purchase.