God will bring an end to Satan. God does not offer us a choice between life in hell or life in heaven. The choice offered us is life versus death. If a person burned throughout the ceaseless ages of eternity in hell, he would still receive eternal life. It certainly would not be a pleasant life, but it would still be life, and he would never receive the wages of sin, which is death.
Fire is only the means to bring about the end, which is death.
If the fire does not result in death, then it is not the punishment of sin. Life is available only in Jesus. Only those who have accepted Jesus as their Saviour have everlasting life. Without Jesus there can be no life. Satan would like us to think that we can have life without Jesus.