Hola OLT -
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You specifically ask about dispatcher careers. Dispatcher is one of the many careers existing in the administration offices of an airline, and part of "operations". Then you are asking about director of operation positions and careers.
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Regarding dispatcher, it is generally a position you reach after having worked a few years in an operations office, as "office help" first, learning numerous dispatch activities, such as crew scheduling, flight planning, load control, ramp handling, communications, and eventually passing the exams (if FAA) as flight dispatcher. Could involve many things "outside aviation proper" such as arrange alternate crew hotels, transport at remote places.
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Licenced dispatchers with a few years of experience are well qualified individuals, with many responsibilities. We have chief dispatchers on duty at the company operations office, and they are on duty 24/7, with a few dispatchers and assistant dispatchers working as a team, in charge of various activities.
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With my airline, we had a manager ground operations, and a manager flight operations, on top of which we had a director of operations. Generally, the directors of operations are former pilots... but with one airline, I recall a director of operations who was a former catering manager. With USA airlines, there are some specific requirements to meet, such as having held a ATPL . Incidentally, I knew of pilots who lost their medical, and continued their airline career as dispatchers.
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Salaries vary... depends of the country and the airline you are with. There are countries where US$1,000 monthly salary make you a well paid individual, and some other places in the world where the same job would pay a salary of $5,000. Sri Lanka would have different pay scales than Norway, and that salary in Sri Lanka might provide you with a high standard of living, and be very tight in Norway. So it is all relative.
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Happy contrails