It done on a case-by-case basis. The company and/or owner will look at your debt-to-income as well as how you have re-established yourself after bankruptcy. Pursue the property you are interested in and see how things go. You may not have anything to worry about.
The real estate company acts as the property manager, however the owner of the property will decide whether they accept the application. The owner will look at the applicants credit and monthly income to debt ratios to make that decision. So the answer is it depends.