Aetna Director Salary. Aetna Director average salary is $125,000, median salary is $125,000 with a salary range from $125,000 to $125,000. Aetna Director salaries are collected from government agencies and companies.Each salary is associated with a real job position.etna Director average salary is $125,000, median salary is $125,000 with a salary range from $125,000 to $125,000. Aetna Director salaries are collected from government agencies and companies.