If it’s matter-compatible, it should work with SmartThings as long as you have a device which is a matter controller for the SmartThings platform. That includes the standalone hubs and some of the built-ins.
Matter-compatible devices will have a matter logo, but they won’t have a “works with SmartThings“ logo, unless they also went through the separate SmartThings certification program. Which they don’t need to do.
See the following:
FAQ: What do I need to add a Matter device to the SmartThings app? Do I need a bridge router device?