If I were you I wouldn't turn down employment with a carrier like South West or Jet Blue ...just because they don't operate "Int'L Long Haul."
But at every U.S. airline everybody every month gets to fill out a "dreamsheet." Seniority rules. If pilots senior to you don't feel like flying to Hong Kong next month, then you get it.
Unless you're going to be a management pilot, there is nothing that you can do to "prepare yourself," or to "talk to someone" in order to be assigned to fly International long haul trips across the oceans....