Cech was left clutching his left eye in the 73rd minute after Cahillappeared to catch Chelsea's goalkeeper in the face as he arrived latewith what appeared to be a studs-first challenge.
Eyeful: Tim Cahill clatters into Cech
Four years ago, Cech underwent surgery for a depressed fracture of his skull and he plays in a protective leather cap.
But Moyes said: 'Just because Cech has a medical history, that doesn't mean my player can't go for the ball. If he hadn't gone for it, I'd be wringing his neck.'
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