No threats have any effect on Polycarp
The proconsul then said to him, “I have wild beasts at hand; to these will I cast you, unless you repent.”
But he answered, “Call them then, for we are not accustomed to repent of what is good in order to adopt that which is evil; and it is well for me to be changed from what is evil to what is righteous.”
But again the proconsul said to him, “I will cause you to be consumed by fire, seeing you despise the wild beasts, if you will not repent.”
But Polycarp said, “You threaten me with fire which burns for an hour, and after a little is extinguished, but are ignorant of the fire of the coming judgment and of eternal punishment, reserved for the ungodly. But why do you tarry? Bring forth what you will.”
Source: The Martyrdom of Polycarp (New Advent)