Will MBA correspondence from any university be a valid qualification to be a lecturer in Management ?

Whether your MBA degree is full-time, part-time, distance learning, or other, it is granted by the school as an MBA and does not say MBA full-time, or MBA part-time, etc. Therefore it does not matter in what type of program you earned it, but it matters from which school you received it. Some programs are better than others, some have good reputations, and some are worthless.

Whether the MBA qualifies you to lecture depends on the requirements of the school where you wish to work. The better universities require a Ph.D. but many schools have no choice but to hire people with a masters degree.

Before you consider which MBA program is for you, consult the Official MBA Guide, a comprehensive free public service with more than 2,000 MBA programs listed worldwide. It allows you to search for programs by location (US, Europe, Far East, etc.), by concentration (finance, marketing, aviation management, health management, accounting, etc.), by type of program (full-time, distance learning, part-time, etc), and by listing your own criteria and preferences to get a list of universities that satisfy your needs. You can use the Guide to contact schools of your choice, examine their data, visit their web site, and send them pre applications. You can see lists of top 40 schools ranked by starting salaries of graduates, GMAT scores, and other criteria. It's the best service available at http://officialmbaguide.org./