Assuming the relocation of work is only due to arbitrage in wages and not bypassing environmental or human rights causes, then how is it decided what can be arbitraged, and who gets to decide this?

Are people allowed to go to Walmart and choose to buy something for less money than the mom and pop store? Are traders allowed to take advantage of pricing differentials in different markets? Are employers allowed to relocated outside of San Francisco to find less expensive employees?

You can try to stop the market from reaching equilibrium...but I have a feeling you won't win in the end, at least not without some help from the armed forces.