Help with a couple of words

Firstly... Use 'Glare' instead of 'Glear'.

Secondly, of the two examples posted, I'd use neither, but that's just because I write differently. use what you feel works best for you but I'd be tempted to say...

"She fixed her eyes onto him, an icy glare that spoke volumes more than words could have."

If you're asking specifically from the examples you've posted though... I'd say the first one.

Rob.

Personally I find nothing wrong with "she fixed him with an icy glare." I wouldn't use glear though. That's just me.

The impression left me by th OP's example leads me to see that he was fixed or locked in place by the stare. If that's the intent, then it worked.
If the intent is to imply that she stared at him, then it does not.
Is this to imply that she fixed her stare upon him or that her stare had the effect of freezing him where he stood?
The statement leaves some ambiguity, however, context could supply the lacking information.

EG