as the title suggests, in America/Europe, in which feild is it easier to find work?
More depends on your portfolio and what you wanna do I guess. But in general it's the same I think. It takes about 5 to 10 years to get established if your not an unnatural genius at what you do. Some people get lucky or are just so damn good at what they do.
Apply for the jobs that you really want to do and I believe your employeers will feel this.