Do I just sign my severance package .

When you are hoping to increase the amount of money offered in a severance agreement, there are two possible arguments that you can use, assuming they apply. One argument is if you have a potential claim of discrimination or retaliation against the company based on your termination.  You would need to speak with an attorney to determine if you have such a claim and how strong that claim might be. If the termination does not violate any law, then the other possible argument would be based on a combination of all your important contributions to the company and/or proving that the termination is unfair, even if not illegal. You need some argument to convince the employer to pay you more money, and depending on how strong your facts are in either of the scenarios mentioned above, the company may agree to pay you more money.  It is advisable it speak to an employment law attorney about this.