Pilot hiring is strong among the majors at the moment and it looks like it will continue to be strong for a number of years.
good luck in the lottery and if that falls through you can always marry an American.
As I'm sure you are aware you will require a FAA ATP to work for a US airline so make sure that you have all the requirements completed before you begin looking for a job.
The last person I know that got hired by American Airlines had the following experience.
1100 helicopters (former marine corp pilot)
450 single engine PIC
2000 multi turbine SIC (Citation)
750 multi PIC (citation)
this kind of experience is typical for a new hire at the majors. Average age is 38.
hope this helps.