Now one named Quintus, a Phrygian, who was but lately come from Phrygia, when he saw the wild beasts, became afraid. This was the man who forced himself and some others to come forward voluntarily [for trial]. Him the proconsul, after many entreaties, persuaded to swear and to offer sacrifice. Wherefore, brethren, we do not commend those who give themselves up [to suffering], seeing the Gospel does not teach so to do. (Comp. Mat_10:23)Polycarp
Epistle Concerning Martyrdom Ch. IV, Vol. 1

That some of us saw the blessed Ignatius suddenly standing by us and embracing us, while others beheld him again praying for us, and others still saw him dropping with sweat, as if he had just come from his great labor and standing by the Lord. When, therefore, we had with great joy witnessed these things, and had compared our several visions together, we sang praise to God, the giver of all good things, and expressed our sense of the happiness of the holy [martyr]; and now we have made known to you both the day and the time [when these things happened], that, assembling ourselves together according to the time of his martyrdom, we may have fellowship with the champion and noble martyr of Christ, who trod underfoot the devil, and perfected the course which, out of love to Christ, he had desired, in Christ Jesus our Lord; by whom, and with whom, be glory and power to the Father, with the Holy Spirit, for evermore! Amen.Ignatius (Disciple of Apostle John)
Martyrdom Ch. VII, Vol. 1

If the confession to God is martyrdom, each soul which has lived purely in the knowledge of God, which has obeyed the commandments, is a witness both by life and word, in whatever way it may be released from the body, - shedding faith as blood along its whole life till its departure. For instance, the Lord says in the Gospel, “Whosoever shall leave father, or mother, or brethren,” and so forth, “for the sake of the Gospel and my name,” (Mat_19:29) he is blessed; not indicating simple martyrdom, but the gnostic martyrdom, as of the man who has conducted himself according to the rule of the Gospel, in love to the Lord (for the knowledge of the Name and the understanding of the Gospel point out the gnosis[knowledge], but not the bare appellation), so as to leave his worldly kindred, and wealth, and every possession, in order to lead a life free from passion. “Mother” figuratively means country and sustenance; “fathers” are the laws of civil polity: which must be contemned thankfully by the high-souled just man; for the sake of being the friend of God, and of obtaining the right hand in the holy place, as the Apostles have done.Clement
Stromata Bk. 4 Ch. IV, Vol. 2

And truly, who can fail to admire their nobleness of mind, and their patience, with that love towards their Lord which they displayed? — who, when they were so torn with scourges, that the frame of their bodies, even to the very inward veins and arteries, was laid open, still patiently endured, while even those that stood by pitied and bewailed them. But they reached such a pitch of magnanimity, that not one of them let a sigh or a groan escape them; thus proving to us all that those holy martyrs of Christ, at the very time when they suffered such torments, were absent from the body, or rather, that the Lord then stood by them, and communed with them.Polycarp
Epistle Concerning Martyrdom Ch. II, Vol. 1

Then Trajan pronounced sentence as follows: “We command that Ignatius, who affirms that he carries about within him, Him that was crucified, be bound by soldiers, and carried to the great [city] Rome, there to be devoured by the beasts, for the gratification of the people.” When the holy martyr heard this sentence, he cried out with joy, “I thank thee, O Lord, that Thou hast vouchsafed to honor me with a perfect love towards Thee, and hast made me to be bound with iron chains, like Thy Apostle Paul.” Having spoken thus, he then, with delight, clasped the chains about him; and when he had first prayed for the Church, and commended it with tears to the Lord, he was hurried away by the savage cruelty of the soldiers, like a distinguished ram the leader of a goodly flock, that he might be carried to Rome, there to furnish food to the bloodthirsty beasts.Ignatius (Disciple of Apostle John)
Martyrdom Ch. II, Vol. 1

We call martyrdom perfection, not because the man comes to the end of his life as others, but because he has exhibited the perfect work of love. And the ancients laud the death of those among the Greeks who died in war, not that they advised people to die a violent death, but because he who ends his life in war is released without the dread of dying, severed from the body without experiencing previous suffering or being enfeebled in his soul, as the people that suffer in diseases. For they depart in a state of effeminacy and desiring to live; and therefore, they do not yield up the soul pure, but bearing with it their lusts like weights of lead; all but those who have been conspicuous in virtue. Some die in battle with their lusts, these being in no respect different from what they would have been if they had wasted away by disease.Clement
Stromata Bk. 4 Ch. IV, Vol. 2

But why are you not helped when persecuted? say they. What wrong is done us, as far as we are concerned, in being released by death to go to the Lord, and so undergoing a change of life, as if a change from one time of life to another? Did we think rightly, we should feel obliged to those who have afforded the means for speedy departure, if it is for love that we bear witness; and if not, we should appear to the multitude to be base men.Clement
Stromata Book 4 Ch. XI, Vol. 2