We cannot oxidise Fe(2+) electrolytically, because, Fe(2+) will have to donate one electron at the anode to be oxidised to Fe(3+). However, the anode being positively charged will repel Fe(2+) ions and thus prevent the reaction.
Electrostatic repulsion plays a very small part in the rate of reaction. Contact with the electrode is effectively diffusion controlled. There are numerous sources to support that. However, more simply, if electrostatic repulsion was the controlling factor, how can you explain the production of any valence of >1 cation at the anode, including iron(II)?
Hence, FeCl3 cannot be regenerated by electrolysis.
See: Electrolysis - Wikipedia, the free encyclopedia
Oxidation of ions or neutral molecules can take place at the anode, and the reduction of ions or neutral molecules at the cathode. For example, it is possible to oxidize ferrous ions to ferric ions at the anode:
John