I couldn't find anything on St. Augustine favoring slavery of the Jews. Had he, it would have not been chattel, I don't think.
As far as St. Chrysostom goes, one finds this, although it'd have to be stretched beyond its pretty clear meaning (he's talking about God-given chastisements of the Jews in the OT) to get to "he favored killing Jews":
(5) But what is the source of this hardness? It come from gluttony and drunkenness. Who say so? Moses himself. "Israel ate and was filled and the darling grew fat and frisky". When brute animals feed from a full manger, they grow plump and become more obstinate and hard to hold in check; they endure neither the yoke, the reins, nor the hand of the charioteer. Just so the Jєωιѕн people were driven by their drunkenness and plumpness to the ultimate evil; they kicked about, they failed to accept the yoke of Christ, nor did they pull the plow of his teaching. Another prophet hinted at this when he said: "Israel is as obstinate as a stubborn heifer". And still another called the Jews "an untamed calf".
(6) Although such beasts are unfit for work, they are fit for killing. And this is what happened to the Jews: while they were making themselves unfit for work, they grew fit for slaughter. This is why Christ said: "But as for these my enemies, who did not want me to be king over them, bring them here and slay them". You Jews should have fasted then, when drunkenness was doing those terrible things to you, when your gluttony was giving birth to your ungodliness-not now. Now your fasting is untimely and an abomination. Who said so? Isaiah himself when he called out in a loud voice: "I did not choose this fast, say the Lord". Why? "You quarrel and squabble when you fast and strike those subject to you with your fists". But if you fasting was an abomination when you were striking your fellow slaves, does it become acceptable now that you have slain your Master? How could that be right? (Against the Jews, "Homily 1", paras. 5-6, link)