Here's my code:
console.log('\u00A9');
My console output (from node.js) is:
©
How do I get rid of that  character?

In PuTTY configuration, please have a look at Window→Translation. You probably have the default value at "Character set translation on received data", which is ISO-8859-1 or a similar single-byte encoding. You need to change it to UTF-8.