Is IICRC certification a license?
No. A license comes from a state or local government and is required to do certain work. IICRC certification is voluntary and comes from a private non-profit that sets standards for the industry. The IICRC describes its standards, such as ANSI/IICRC S500 for water damage restoration and S520 for mold remediation, as "ANSI-accredited guidelines that define best practices."
Some states also license restoration-adjacent work. Texas, for example, licenses mold remediation contractors through its Department of Licensing and Regulation. Check what your state requires separately, using a contractor license lookup, and don't present a certification as if it were a license.