Read up on going ex-pat first. Most every transport job will require "time on type" as a Captain. That experience is gained at a US carrier first. There are exceptions, but few and far between. EK, for example, requires FAR 121 experience before an interview. The Asian carriers mostly hire, by contract, experienced captains, the F/O positions are for locals.

The 121 bust may still hurt in the future, it's a pretty big and always has been. I know two guys that washed out of US military pilot training, they never made to an airline back in the mega-hiring years. You need to "own" that more than you do. It wasn't company's that brought you to your present position, it was you. Blaming the "anchor" or the company will NOT hack it at an interview anywhere. I conduct interviews in our Flt Dep't, so I think I can claim some authority.

GF