The defender was the subject of derogatory chants from England fans during the international break for turning down a call-up to face San Marino and Montenegro, which allegedly took on a racist undertone.
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"I don't think it will bother him," Sir Alex told reporters. "If there is criticism out there for him, then it shouldn't bother him.
"To be honest with you, I think it will blow over quite quickly.
"That's modern society, I'm afraid. We see a lot of that, supporters' reaction to many things, and I don't think we can change that. It's modern society.
"People are always ready to vent their spleen against whoever displeases them at any particular moment."