John Chrysostom

What then saith Peter, everywhere ardent, and ever starting forward before the rest? "Lord, if it be Thou," saith he, "bid me come unto Thee on the water." He said not, "Pray and entreat," but, "bid." Seest thou how great his ardor, how great his faith? Yet surely he is hereby often in danger, by seeking things beyond his measure. For so here too he required an exceedingly great thing, for love only, not for display. For neither did he say, "Bid me walk on the water," but what? "Bid me come unto Thee." For none so loved Jesus. …

Homily on the Gospel of Matthew 50 ↗

Theophylact of Ohrid

As Peter had the most fervent love for Christ, he desires immediately, before the others, to be near Him. For he believes not only that Jesus Himself walks on the water, but that He will grant this to him as well. Peter did not say, "Bid me to walk," but rather "to come unto Thee." The former would have been ostentation; the latter is love for Christ.

Commentary on Matthew ↗

Augustine of Hippo

What is signified by the fact that Peter dared to come to him upon the water? Peter indeed has the principal role in the church. And what is the meaning of those other words: "Lord, if it is you, bid me come to you on the water," if not, Lord, if you are truthful and never lie at all, let your church be glorified also in this world, for prophecy declared this about you? Let it walk upon the water, and it shall come to you, to whom it was said, "The rich among the people shall entreat your favor."

Sermon 75.10 ↗

Jerome

But Peter, responding, said: Lord, if it is you, command me to come to you on the water. And he said: Come. In all places, Peter is found to have the most fervent faith. When the disciples were asked who they said Jesus, the Son of God, confesses. He prevents him from going to his passion, and although he may be mistaken in understanding, he is not mistaken in his feelings: not wanting him to die, whom he had confessed as the Son of God just a little while before. …

Commentary on Matthew ↗

Hilary of Poitiers

Or; That Peter alone out of all the number of those that were in the vessel has courage to answer, and to pray that the Lord would bid him come to Him upon the waters, figures the frowardness of his will in the Lord's passion, when following after the Lord's steps he endeavoured to attain to despise death. But his fearfulness shows his weakness in his after trial, when through fear of death, he was driven to the necessity of denial. His crying out here is the groaning of his repentance there.

Catena Aurea by Aquinas ↗