According to IMDB, the current record for foreign box office receipts of an American movie belongs to Avatar. But you don’t have to go too far down the list to find a cowboy movie. The tenth highest foreign box office record belongs to Toy Story 3.

EXPORTING AN IMAGINARY AMERICA TO MAKE MONEY: Moving Picture Lovers in Foreign Cities Prefer Indian and Cowboy Films to All Others (PDF)

From July 30, 1911