9 But, beloved, we are persuaded better things of you, and things that accompany salvation, though we thus speak.
[AD 215] Clement of Alexandria on Hebrews 6:9-12
“We,” according to the good apostle, “wait for the hope of righteousness, for in Christ neither circumcision nor uncircumcision is of any avail, but faith working through love.” “We desire each one of you to show the same earnestness in realizing the full assurance of hope,” and so on to, “having become a high priest forever, after the order of Melchizedek.” Wisdom, full of every virtue, uses similar words to Paul’s: “Anyone who listens to me will live safely, trusting in hope.” The establishment of hope and hope itself are spoken of interchangeably. That is why he has done admirably to add the word trusting to “will live safely.” He is showing that the sort of person who has hold of the hope he hoped for is at peace. This is why he adds, “And he will be tranquil, without fear, free from all evil.” The apostle speaks openly in the first letter to the Corinthians when he says expressly, “Be imitators of me, as I am of Christ,” to bring this about. If you imitate me and I imitate Christ, then you are imitating Christ as he is representing God. So he establishes a target for faith in “the likeness to God so far as possible in justice and holiness combined with practical wisdom,” and the goal in the actualization of the promise on the basis of faith.

[AD 407] John Chrysostom on Hebrews 6:9
Having therefore sufficiently rebuked them, and alarmed and wounded them, he in turn heals them, so as not to cast them down too much, and make them supine. For he that strikes one that is "dull," makes him more dull. So then he neither flatters them throughout, lest he should make them supine, nor does he wound them throughout, but having inserted a little to wound them, he applies much to heal in what follows.

For what does he say? We speak not these things, as having condemned you, nor as thinking you to be full of thorns, but fearing lest this should come to pass. For it is better to terrify you by words, that ye may not suffer by the realities. And this is specially of Paul's wisdom.

Moreover he did not say, We think, or, we conjecture, or, we expect, or, we hope, but what? "But beloved, we are persuaded better things of you, and things that accompany salvation, though we thus speak." Which word he also used in writing to the Galatians: "But I am persuaded of you in the Lord, that ye will be none otherwise minded." (Gal. v. 10.) For in that instance, inasmuch as they were greatly to be condemned, and he could not praise them from things present, he does it from things future ("that ye will be none otherwise minded," he says): he said not, ye are, but "ye will be none otherwise minded." But here he encourages them from things present. "We are persuaded better things of you, beloved, and things that accompany to salvation, though we thus speak." And since he was not able to say so much from things present, he confirms his consolation from things past.

[AD 990] Oecumenius on Hebrews 6:9-12
Having sufficiently struck them by calling them sluggish, and saying other things, he now comforts them; therefore he did not say, "I think," but "I am convinced."
"and things pertaining to salvation." Being near.
"even though we speak in this way." He says, I know that you will not produce thorns and thistles, but I strike only with words, so that I may make you stronger.
"For God is not unjust." Therefore, we are convinced of the good things concerning you, knowing that God is not unjust. If He is not unjust, He will not forget your good work and the love which you have shown in His name, having endured all for Him. So do not lose heart, but always hope for better things; for God is always righteous. Therefore, I have not spoken about you in a discouraging way; for I know that you are not worthy of curses.
“in serving the saints.”Greatly testifies to them, not only by works, but also by works done with eagerness; for serving is a sign of eagerness. To the saints, that is, to the faithful. For every believer is holy, even if he is of the world [κοσμικὸς]. But see how he ministers to them. For he did not say, having served, and stood; but added, and serving; that is, continuing to do the same.
This love that you continue to show, he says, "we desire [Επιθυμοῦμεν]." He did not say, "We want [βουλόμεθα]," but rather, it was more affectionate, "We desire," he says.
"to show the same diligence." Then someone might say, "If you are convinced about the better things concerning us, and you know our works and our ministry to the saints, why then were you afraid to call us sluggish, and remembering the thorns? Why? Because “we desire each one of you," he says, "to show the same diligence to the full assurance of hope until the end”, that is, to be steadfast in your faith in Christ and the hope that comes from it. And he did not say, We wish; which would have been a teaching authority; but, we desire; which is of paternal affection. For this is not something we wish in words only, but our soul burns for you. For such a thing is meant by the phrase, we desire.
"that you may not be sluggish." And this is also for their healing; for it leads them to the future time.And although he said above, "You have become sluggish," (Heb. 5:11) he then said to their listening ears, "but now, all of you have become sluggish."
"imitators of those who through faith and patience inherit the promises." Then he lists those who inherited the promises through faith, such as Abraham. What is meant by "through patience"? That is, through endurance. For he endured the promise being set forth for so many years, and still remained believing. For if the gift were to follow immediately upon the promise of God, there would no longer be any need for faith or endurance on the part of the one receiving the promise, since God would be completely truthful. But if, having promised, he is delayed, and the one receiving the promise patiently waits for the delay, then he believes purely, then he endures with self-control.

[AD 1107] Theophylact of Ohrid on Hebrews 6:9
Having sufficiently rebuked and frightened them, he again consoles, so as not to make them completely careless. For whoever punishes a lazy person severely makes him even lazier. Therefore he says: I say this not because I have condemned you, and not because I consider you full of thorns, but because I fear lest this happen to you. And he did not say: we expect of you, but: "we hope," that is, we are in firm confidence concerning you, that you do not live this way, but better, and that you care for your own salvation, even though we expressed ourselves so strongly. So he says this either about their life, namely, that you are so thorny, or about the recompense, that you are not "near to cursing" and not to "burning," but a different recompense is appointed for you. Pay attention also to what follows.