Augustine of Hippo

The Lord when He prepares men for the Gospel will not have any excuse of this fleshly and temporal attachment to interfere, therefore it follows; Jesus said unto him, Follow me, and, leave the dead to bury their dead. (ubi sup.) As much as to say; Thy father is dead; but there are also other dead who shall bury their dead, because they are in unbelief.

Catena Aurea by Aquinas ↗

Jerome

But Jesus said to him, "Follow me, and let the dead bury their own dead. He is dead, whoever does not believe. But if a dead person buries the dead, we should not be concerned about the dead, but the living: lest while we are concerned about the dead, we ourselves may also be called dead.

Commentary on Matthew ↗

Gregory the Dialogist

He sees and follows who puts into practice the good that he understands. But he sees and does not follow who indeed understands the good, but disdains to do good works. If therefore, dearest brothers, we now recognize the blindness of our pilgrimage, if by believing in the mystery of our Redeemer we sit by the wayside, if by praying daily we seek light from our Creator, if having been illuminated after our blindness we now see that same light through understanding, let us follow in our works the Jesus whom we perceive in our mind. …

Forty Gospel Homilies, Homily 2 ↗