There are jobs out there, but you'll certainly have a tougher time since you'd be competing with people with degrees.

It would also depend on the location, China requires teachers to have a degree though some are getting by in smaller cities and towns where the rule isn't implemented heavily.
Thailand also requires a degree, but like China non-degree holders can find jobs in more rural areas.
Of course, I'd advice on other countries that don't require degrees, I wouldn't want you to get thrown out because of my advice.

If I remember correctly, Vietnam is one such country. Some South American countries don't require degrees either.

North America and the EU would not be a wise choice, since these areas are well-populated with degree holding ESL teachers.