Odds of Getting In
If you can stand doing the job, you'll find one. Customer service jobs are practically growing on trees these days.
Call centers are popping up all over the place and it's one of the few industries that are still experiencing significant growth, even in an iffy economy (source). Apparently everyone likes to complain.
You'll have an especially easy time if the job requires you on the phone at odd hours, holidays, or weekends.
We're going to go out on a limb and bet that the only jobs that are easier to get would be in debt collection.