Hi Humb,

childs are always transformed with their parent. That is pretty much the only reason for the existance of such a scenegraph mechanism.

If you do not want to unparent it completely, you have some choices

1. Unparent the camera temporary and stick it back after the cutscene or whatever you wanna do with the camera. (simple)
2. Calculate the transform of the camera inverse to the transform of the Object in the Update Function of Script applied to the camera. (harder)
3. Unparent the camera completely and let it follow the object in World coordinates. (harder)
4. Use a second camera that is no child of the Object and switch to this one. (simple)

Unparent it

EDIT: I guess you could just set the child's transform directly by capturing the target transform.position when you want it to stay put, then in the Update on the camera:

transform.position = targetPosition;