American Arbitration Association Salary. American Arbitration Association average salary is $64,683, median salary is $58,822 with a salary range from $39,000 to $105,000.American Arbitration Association salaries are collected from government agencies and companies.Each salary is associated with a real job position.merican Arbitration Association average salary is $64,683, median salary is $58,822 with a salary range from $39,000 to $105,000. American Arbitration Association salaries are collected from government agencies and companies. Each salary is associated with a real job position.