Help me please.
Is it correct to say it:
I cannot appear to make her notice the events ?
Is it possible to use seem or any other word which makes sense in this phrase instead of appear ?
Do you mean "let"?
"Appear" doesn't sound natural to me; "seem" is fine.
I can't seem to make her notice the events has a similar meaning to It seems that I can't make her notice the events.
Your particular example is in itself not very natural. We 'notice things' or 'pay attention to events', in my opinion.