John Chrysostom

On this principle again all the kings whom they had in honor after his time were named from him, both by the people themselves and by God. For both Ezekiel and other prophets besides speak of David as coming and rising again; not meaning him that was dead, but them who were emulating his virtue. And to Hezekiah He saith, "I will defend this city, for mine own sake and for my servant David's sake."

Homilies On The Gospel Of Matthew 2:6 ↗

Augustine of Hippo

You will readily understand, brothers, that it is a prophecy of Christ coming to people from the seed of David, if you realize the dates. This prophet Ezekiel lived in the time of the captivity, which resulted from the exile of the people to Babylonia. From the time of David to the time of the exile there are fourteen generations.

Sermon 47:20 ↗

Jerome

And I will raise up over them (here and elsewhere) (or over them) one shepherd who will feed them (or him), my servant David: he will feed them (or him): and he will be their shepherd. But I, the Lord, will be their God, and my servant David will be prince among them. I, the Lord, have spoken. Then He will raise up one shepherd, who says in the Gospel: I am the good shepherd (John 10:11); His servant David according to what form of a servant He deigned to assume (Philippians 2); who is interpreted as 'mighty by hand'. …

Commentary on Ezekiel ↗