The present invention is directed to a novel method and apparatus for facilitating and improving efficient application of nanofibers to the surface of poorly conductive three-dimensional objects using electrospinning. The apparatus and associated methods of the present invention provide a much more direct connection between the object and the grounded plate collector while allowing the object to be supported above the collector in a manner which promotes nanofiber deposition over the top, bottom and side surfaces of the object, closely covering all of its surfaces with nanofibers. Moreover, the deposition of electrospun nanofibers according to various embodiments of the present invention expands electrospinning technology to greater numbers of applications in which three-dimensional coatings of a wide nature are advantageous.