The Catholic Haydock Commentary, which collects the Fathers' and other Catholic scriptural scholars' commentaries, says for John 10:34:
Ver. 34. This is addressed to princes established to govern the people of God. They are the image of God on earth by the authority they exercise, and which they have received from Him. --- Is it not written in your law, (under which were also comprehended the Psalms) I have said: you are Gods? &c. Christ here stops the mouths of the Jews, by an argument which they could not answer, that sometimes they were called Gods, who acted by God's authority. I have said: you are Gods. (Psalm lxxxi. 6.) But then he immediately declares, that it is not in this sense only that he is God. 1st, Because he has been sanctified by the Father, which St. Augustine and others understand of that infinite sanctification, which he has necessarily by always proceeding from the Father. Others expound it of a greater sanctity and fulness of grace above all other saints, given to him, even as he was man. But 2ndly, he adds at the same time, and confirms what he had often told them, that he was the Son of God, sent into the world: that his works shew that he was in the Father, and the Father in him. by this they saw that he was far from recalling or contradicting what he had said before. And therefore (ver. 30.[39.?]) they sought to apprehend him, and put him to death for blasphemy. (Witham) --- Eloim, which name of God was so called from judging, and may be interpreted judges. (Menochius)