Final answer:
The MCC, based in London, had a major influence on the global spread of cricket, but it has not shifted to a different country. The ICC now governs international cricket, and South Asian countries have been particularly successful in World Cup events.
Step-by-step explanation:
The Marylebone Cricket Club (MCC), founded in 1787, is a cricket club in London that has had a major influence on the development of cricket worldwide. It has not 'shifted' to any particular country, but historically the MCC was responsible for the spread of cricket within the British Empire.
As the British Empire expanded, cricket was introduced to various colonies, though the question seems to presume a shift. Thus, the phrasing of the question may be misleading as the MCC itself is still based in London, England. However, cricket became a prominent sport in many countries within the British Empire, including Australia, India, the West Indies, and South Africa.
In terms of cricket's popularity and its governance, over time, power shifted away from the MCC to the International Cricket Council (ICC). The ICC is the international governing body for cricket which organizes the Cricket World Cup, an event South Asian countries have been successful in, with India, Pakistan, and Sri Lanka winning the World Cup.