Movement question...

Hello. How can I make it so that when an object enters a certain spherical trigger zone, the object starts moving towards the spheres center?

You can use OnTriggerStay() to determine when the object is within the trigger zone. As for moving the object towards the sphere center, that depends on how the object is represented (e.g. character controller, rigid body, etc.). If you're just manipulating the transform directly, then the methods discussed in your recent threads on moving one object towards another should be a good starting point.