God’s promises are to both body and soul

“And He breathed upon his face the breath of life, and man (that is, the clay) became a living soul; and God placed the man whom He had formed in the garden.” So that man was clay at first, and only afterwards man entire. I wish to impress this on your attention, with a view to your knowing, that whatever God has at all purposed or promised to man, is due not to the soul simply, but to the flesh also; if not arising out of any community in their origin, yet at all events by the privilege possessed by the latter in its name.

Tertullian
On the Resurrection of the Flesh
Chapter V

Marcion preached only a resurrection of the soul

For Marcion does not in any wise admit the resurrection of the flesh, and it is only the salvation of the soul which he promises; consequently the question which he raises is not concerning the sort of body, but the very substance thereof. Notwithstanding, he is most plainly refuted even from what the apostle advances respecting the quality of the body, in answer to those who ask, “How are the dead raised up? with what body do they come?” For as he treated of the sort of body, he of course ipso facto proclaimed in the argument that it was a body which would rise again.

Tertullian
The Five Books Against Marcion, Book V
Chapter X

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

Only a body dies so therefore resurrection is of the body, not the soul

Now the body is that which loses life, and as the result of losing it becomes dead. To the body, therefore, the term dead is only suitable. Moreover, as resurrection accrues to what is dead, and dead is a term applicable only to a body, therefore the body alone has a resurrection incidental to it. So again the word Resurrection, or (rising again), embraces only that which has fallen down. “To rise,” indeed, can be predicated of that which has never fallen down, but had already been always lying down. But “to rise again” is predicable only of that which has fallen down; because it is by rising again, in consequence of its having fallen down, that it is said to have re-risen.

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