What are the arguments against a zero corporate tax? I've read a title in the news proposing a zero corporate tax. Thinking about it I couldn't figure a good reason against. 

Why couldn't a country just set the corporate tax rate for firms to zero and then tax any gain obtained via negotiating shares or receiving dividends? Tracking the latters seems way easier (via a digital national registry of ownership and trades and mandating disclosure of dividends ) than burdening firms with complicated tax codes and the state with the burden of chasing them. 

I am sure I am missing some theoretical and real world complications, so please, enlighten me.
It is possible to structure business entities in most if not all countries as pass through structures (e.g., limited liability corporations, sole proprietorships, or general partnerships).  Such entities are not taxed at the corporate level.  Tax liability instead flows through to the principals who own not shares but partnership interests.

Your question should therefore be restated: what advantage is there to reducing the corporate tax rate to allow shareholders to pay less tax than if profits flowed through to their personal income tax returns?

The answer to that question is data-dependent.  In some economic environments, it is useful to encourage corporate investment through corporate tax cuts.  We are not in such an environment today, however.  There is now a very wide and deep literature on how corporations have been saving more than they have been investing since the 2007-09 financial crisis.  Corporations have been hoarding cash or distributing capital to stockholders in the form of dividends and share buybacks more than they have been investing in future productivity and profitability growth.  Corporate tax cuts would therefore likely increase wealth inequality because they would flow through to already wealthy shareholders.

The only argument for reducing the corporate tax rate today has to do with international competitiveness.  The top tax rate for U.S. corporations is 35%.  In Ireland it is 18%.  If you ran a giant multinational, you might want to "invert" and re-domicile to Ireland or any other lower-taxing country.  The U.S. tax code has so many loopholes that through clever use of intercompany debt, net operating loss carryforwards, and operations overseas, it is possible bring the effective tax rate for a U.S. domiciled multinational closer to 10-15% over longer time horizons.  We should obviously attempt to set corporate tax policy to limit inversions, but many companies already pay less than they would if they were headquartered overseas.