The City of San Antonio does NOT have any authority to force a private property owner, including rental property owners, to test for or remediate mold.
If you have concerns about possible mold growth in your residence, you will need to hire a private contractor to test and/or remediate the mold. If you live in a rental property, contact your landlord or property manager. If there is a structural issue on rental property which is causing the mold to grow, (e.g. a water pipe is leaking), and the property owner has not fixed it appropriately, call 311 to report the problem to Code Compliance.
Visit the State's website, Department of State Health Services, for the Texas Mold Assessment and Remediation Rules as well as contact information for technical guidance and remediation options.