Pete,
The only problem I can foresee is;
You NEED to have permanent residency in the US to be employed by anyone out there.
If when you get back you manage to find a job here, please let me know.
I work for American Airlines at LHR so I know a little about it. (AA only recruit FAA dispatchers at Systems Operation Control SOC in Dallas).
On a lighter note, I have just got back from the AA training centre and I passed the Dispacher centre where I assume you are doing your training. It is not actually Dallas, its on the outskirts but its a lovely part of town. You'll be blown away by the airport, 6 runways, most of them active, very interesting.
I believe on your course you will visit AA's SOC, you'll be quite impressed I think.
Good Luck, let me know how it works out for you.
Happy Holidays.