International mostly means something (a company, language, or organization) involving more than a single country. The term international as a word means involvement of, interaction between or encompassing more than one nation, or generally beyond national boundaries. For example, international law, which is applied by more than one country and usually everywhere on Earth, and international language which is a language spoken by residents of more than one country.
Management (or managing) is the administration of an organization, whether it is a business, a not-for-profit organization, or government body. Management includes the activities of setting the strategy of an organization and coordinating the efforts of its employees (or of volunteers) to accomplish its objectives through the application of available resources, such as financial, natural, technological, and human resources. The term "management" may also refer to those people who manage an organization.
You manage things, you lead people. We went overboard on management and forgot about leadership. It might help if we ran the MBAs out of Washington.
Grace Hopper (1987), quoted in "The Wit and Wisdom of Grace Hopper" by Philip Schieber, OCLC Newsletter, No. 167 (March/April 1987)