I’m not sure what this means? Are you trying to create a flat mesh plane that has a hole, all as one mesh?
You might be able to use native CSG objects. Or you can create a mesh for the plane and a mesh for the hole. Then use CSG to suntract the hole from the plane, and turn the result back to a mesh. Voila! A plane mesh with a hole.
If you have trouble aligning the two, create a cylinder and subtract that from the plane.