what is the icc international court of arbitration? 

The International Chamber of Commerce (ICC) Court of Arbitration does not itself decide cases, but supervises the arbitration proceedings.  Rather, the decisions are rendered by independent arbitrators chosen by the parties. 

who can use the icc to arbitrate? 

You do not have to be a member of the ICC.  You may simply agree in your contract to use the ICC and to resolve any disagreements that may arise under the ICC arbitration rules.

do icc arbitrations have to take place in paris? 

No, parties are free to choose the country where they will have their ICC arbitration.  You are free to hold your arbitration anywhere in the world.  Parties are also free to choose in what language their arbitration will be conducted.  English is a popular choice, but so are some other languages.

for what kind of disputes can parties choose icc arbitration? 

The ICC arbitration rules may be used for any kind of business dispute irrespective of what business or industry you are in.