Gregory of Nyssa

He unfolds the teaching of prayer to His disciples, who wisely desire the knowledge of prayer, directing them how they ought to beseech God to hear them.

Catena Aurea by Aquinas ↗

Cyril of Alexandria

Now whereas He possesses every good in abundance, why does He pray, since He is full, and has altogether need of nothing? To this we answer, that it befits Him, according to the manner of His dispensation in the flesh, to follow human observances at the time convenient for them. For if He eats and drinks, He rightly was used to pray, that He might teach us not to be lukewarm in this duty, but to be the more diligent and earnest in our prayers.

Catena Aurea by Aquinas ↗

Theophylact of Ohrid

The disciple of Christ is zealous for the disciples of John and therefore desires to learn how to pray. The Savior did not reject the desire of the disciples, but teaches them.

Commentary on Luke ↗

Bede

And it happened that as he was praying in a certain place, when he ceased, one of his disciples said to him: Lord, teach us to pray, as John also taught his disciples. After the story of the sisters who signified the two lives of the Church, it is not without reason that the Lord is described as having prayed and having taught his disciples to pray. For the prayer he taught contains the mystery of both lives in itself, and the perfection of these lives is not to be attained by our own strength, but by prayers. …

On the Gospel of Luke ↗

Bonaventure

After he delivered to the disciples the form of teaching and the form of living, in this part he bestows the form of prayer, through which the grace of knowing and of living rightly is obtained. This part has three parts: in the first of which the example of prayer is set forth; in the second, instruction is added, at the place: And he said to them: When you pray, etc.; in the third, an incentive to prayer is subjoined, at the place: And he said to them: Which of you, etc. …

Commentary on Luke, Chapter 11 ↗