when I complete mba international business can I get international product manager job
Definitely the answer to your question is a big Yes. The course of International business prepares one to work in any field internationally. The curriculum of the course helps one to widen thier knowledge to a deep level. If you are pursuing your coure from a good reputed college then you will be placed in a good company. The International business tends to attract international job offers and companies for placement.
You can also apply from your own side to the company you want to work with if you CV will be nice and they will be seats vacant then you will surely get selected.
Hope that helps.
All the very best.