Payroll Dept. should refund you this FICA first, and

they officially file with Social Security Adminstration for the amount. Evidenece of your student status and FICA Exempt should also be ted. But I don't know if your previous W-2 should also ba amended, check with payroll department. It also will affect your company's current quarterly payroll tax form 941, it takes 3 month or more to claim the refund from SSA. This happened to me as well. Not a big deal.