To begin the charge process with the EEOC, go to your local EEOC office or call (800) 6694000. You can file a formal job discrimination complaint with the EEOC whenever you believe you are: This complaint is called a "Charge of Discrimination."This depends on the circumstances of the alleged wrongful termination. First, you might have to file an administrative complaint with a government agency first. If you believe you've experienced wrongful termination, consider filing a claim with the Equal Employment Opportunity Commission (EEOC). Gather information you will need to file your complaint. The process generally involves filling out a form that details your claim and submitting it within a specific timeframe. Wrongful Termination - Houston Employment Lawyers. It's important to mention that offering severance packages can sometimes act as a deterrent for employees considering filing wrongful termination lawsuits. Gather all relevant documents and evidence. 2.