To create a hole by selection with a circular face (from a prism or from a hole), by default the created hole is centered on this face, but there is no constraint automatically created. As a consequence, if the face (support) moves, the hole is no longer centered. The solution is to edit the hole's sketch and add some constraints.

Another method is to create the hole with a concentric constraint with the face.

To understand more, please check the document below.

 Creating a concentric hole