When working with object transform gizmos, you can specify one of the 2 transform spaces: Global or Local.

// This example uses a move gizmo, but the same rules apply for all other gizmos
ObjectTransformGizmo objectMoveGizmo = RTGizmosEngine.Get.CreateObjectMoveGizmo();
objectMoveGizmo.SetTransformSpace(GizmoSpace.Global);   // Set transform space to Global
objectMoveGizmo.SetTransformSpace(GizmoSpace.Local);    // Set transform space to Local

Note: The scale gizmo will always use the Local transform space.