Christ also has a human soul

Christ, however, could not have appeared among men except as a man. Restore, therefore, to Christ, His faith; believe that He who willed to walk the earth as a man exhibited even a soul of a thoroughly human condition, not making it of flesh, but clothing it with flesh.

Tertullian
On the Flesh of Christ
Chapter XI

Christ’s flesh was identical to our own

…what is blood but red fluid? what is flesh but earth in an especial form? Consider the respective qualities,—of the muscles as clods; of the bones as stones; the mammillary glands as a kind of pebbles. Look upon the close junctions of the nerves as propagations of roots, and the branching courses of the veins as winding rivulets, and the down (which covers us) as moss, and the hair as grass, and the very treasures of marrow within our bones as ores of flesh. All these marks of the earthy origin were in Christ; and it is they which obscured Him as the Son of God, for He was looked on as man, for no other reason whatever than because He existed in the corporeal substance of a man.

Tertullian
On the Flesh of Christ
Chapter IX

We are made alive in Christ in the body

Here in the word man, who consists of bodily substance, as we have often shown already, is presented to me the body of Christ.  But if we are all so made alive in Christ, as we die in Adam, it follows of necessity that we are made alive in Christ as a bodily substance, since we died in Adam as a bodily substance. The similarity, indeed, is not complete, unless our revival in Christ concur in identity of substance with our mortality in Adam.

Tertullian
The Five Books Against Marcion, Book V
Chapter IX

The soul is cleansed and purified upon death

Undoubtedly, when the soul, by the power of death, is released from its concretion with the flesh, it is by the very release cleansed and purified: it is, moreover, certain that it escapes from the veil of the flesh into open space, to its clear, and pure, and intrinsic light; and then finds itself enjoying its enfranchisement from matter, and by virtue of its liberty it recovers its divinity, as one who awakes out of sleep passes from images to verities. Then it tells out what it sees; then it exults or it fears, according as it finds what lodging is prepared for it, as soon as it sees the very angel’s face, that arraigner of souls, the Mercury of the poets.

Tertullian
A Treatise on the Soul
Chapter LIII

Man is not totally depraved because the image of God is not lost

For, as we have said before, the corruption of our nature is another nature having a god and father of its own, namely the author of (that) corruption.  Still there is a portion of good in the soul, of that original, divine, and genuine good, which is its proper nature.  For that which is derived from God is rather obscured than extinguished. It can be obscured, indeed, because it is not God; extinguished, however, it cannot be, because it comes from God. As therefore light, when intercepted by an opaque body, still remains, although it is not apparent, by reason of the interposition of so dense a body; so likewise the good in the soul, being weighed down by the evil, is, owing to the obscuring character thereof, either not seen at all, its light being wholly hidden, or else only a stray beam is there visible where it struggles through by an accidental outlet. Thus some men are very bad, and some very good; but yet the souls of all form but one genus: even in the worst there is something good, and in the best there is something bad. For God alone is without sin; and the only man without sin is Christ, since Christ is also God.

Tertullian
A Treatise on the Soul
Chapter XLI

Men’s souls return to their bodies to be judged

Accordingly, God’s judgment will be more full and complete, because it will be pronounced at the very last, in an eternal irrevocable sentence, both of punishment and of consolation, (on men whose) souls are not to transmigrate into beasts, but are to return into their own proper bodies. And all this once for all, and on “that day, too, of which the Father only knoweth;” (only knoweth,) in order that by her trembling expectation faith may make full trial of her anxious sincerity, keeping her gaze ever fixed on that day, in her perpetual ignorance of it, daily fearing that for which she yet daily hopes.

Tertullian
A Treatise on the Soul
Chapter XXXIII

The soul is created simultaneously with the body

How, then, is a living being conceived? Is the substance of both body and soul formed together at one and the same time? Or does one of them precede the other in natural formation? We indeed maintain that both are conceived, and formed, and perfectly simultaneously, as well as born together; and that not a moment’s interval occurs in their conception, so that, a prior place can be assigned to either.

Tertullian
A Treatise on the Soul
Chapter XXVII

The heretics claim souls are created by angels and preexist the body

Some suppose that they came down from heaven, with as firm a belief as they are apt to entertain, when they indulge in the prospect of an undoubted return thither. Saturninus, the disciple of Menander, who belonged to Simon’s sect, introduced this opinion: he affirmed that man was made by angels.

…Now, to procure belief in all this—that the soul had formerly lived with God in the heavens above, sharing His ideas with Him, and afterwards came down to live with us on earth, and whilst here recollects the eternal patterns of things which it had learnt before—he elaborated his new formula, μαθήσεις ἀναμνήσεις, which means that “learning is reminiscence;” implying that the souls which come to us from thence forget the things amongst which they formerly lived, but that they afterwards recall them, instructed by the objects they see around them. Forasmuch, therefore, as the doctrines which the heretics borrow from Plato are cunningly defended by this kind of argument, I shall sufficiently refute the heretics if I overthrow the argument of Plato.

…Amongst so many nations, in so great a crowd of sages, Plato, to be sure, is the only man who has combined the oblivion and the recollection of ideas. Now, since this main argument of his by no means keeps its ground, it follows that its entire superstructure must fall with it, namely, that souls are supposed to be unborn, and to live in the heavenly regions, and to be instructed in the divine mysteries thereof; moreover, that they descend to this earth, and here recall to memory their previous existence, for the purpose, of course, of supplying to our heretics the fitting materials for their systems.

Tertullian
A Treatise on the Soul
Chapter XXIII and XXIV