International Schools tend not to use recruiters because they don't need to. For a list of appropriate schools, conduct a Google search on [China American "international school"] (without the brackets) and see what you come up with.
One such school that I can personally recommend is the
TEDA International School in Tianjin (very close to Beijing). I had the opportunity to take a tour of the school last October and I was very impressed with both the school and the headmaster, Joseph Azmeh. In fact, at that time, he was looking for a K-12 certified English teacher.
There aren't that many American international schools in China. Finding them on the Internet is a simple matter. If your wife is
certified and experienced, she should eventually find employment in China at a school accredited by at least one American educational accrediting body. Because the curriculum is approved (and more or less equivalent to what she would be teaching back home), the experience she would gain at such a school is applicable and transferable to teaching jobs in the States. This is not the case if she teaches, for example, oral English at Disney English or even at a Chinese university.
Do yourselves a big favor. Read through our Guide very carefully, chapter by chapter. Try to be as honest as you can about whether the severe sociocultural and environmental demands that will be made of you are a price you are both willing to pay for addressing whatever issues have ultimately brought you to thinking about moving to communist China. For most Americans, this represents an act of desperation.
If your wife cannot find a good-paying job at an American-accredited international school, I would strongly advise you not to move to China to teach oral English at either a private or public school. For your wife, this would be a definite
career killer. Be careful, please.
For many, teaching oral English in China becomes a permanent solution to what was, in reality, just a temporary problem.