John Chrysostom

"And they were persuaded by him." How were they persuaded? So as not to slay them, but merely to scourge. For, it says, "And when they had called the Apostles, and beaten them, they commanded that they should not speak in the name of Jesus, and let them go." See after what great works they are scourged! And again their teaching became more extended: for they taught at home and in the temple. They reverenced the high character of the man. …

Homily on Acts 14 ↗

Theophylact of Ohrid

They obeyed him because he was saying this not in the presence of the apostles. But how did the Jews beat the apostles if they obeyed him? They obeyed him in the sense that they abandoned their intention to kill them, because they had wanted this and then gave up this desire of theirs, but they beat them, satisfying their anger.

Commentary on Acts ↗

Oecumenius

But if they were persuaded, how were they beaten? They were persuaded to refrain from the slaughter. For this was raging wildly among the lazy. And they beat them so that they would not rashly be driven to boast and act beyond bounds. And in truth, one thing was that their violence was to be abolished, another that the virtue of the adviser was to be chastised, and another that the scourge was to curb the madness of those who had been advised.

Commentary on Acts ↗