Nowadays, education is commonly taken as vital precedence of those who want to acquire basic background knowledge to have a bright career prospect in forward future
I think education has always been important, not only "nowadays".
utilize this method
Pursuing higher education is not a "method". You could use "study overseas" instead.
rather than procrastinating their studies' progress.
This part is not necessary and "procastinating their studies' progress" sounds unnatural. Actually, if students decided not to study overseas, they could pursue higher education in domestic university instead.
the issue involved when being in a foreign country is mainly about a widespread phenomenon called culture shock
Most students experience culture shock when moving to a foreign country.
Despite the fact that culture shock's impacts
Despite the impacts of culture shock
positive attitudes response rather than hostile preliminary attitudes
Yet, as students in any society are personally affected by cultural contrasts differently, hardly are there any solutions to entirely prevent culture shock.
I don't think this sentence adds much value to your paragraph. Instead, you should conclude why students should study overseas in spite of culture shock.
tangible motivation
What do you mean by this?
which are mainly subsidized by the governments. Drawing from Canadian methodology about investing in education, it has spent an immense fund only on this major to improve the quality of curricular system.
I feel that this is irrelevant to the topic.
as the anxiety about going overseas for further education is apparently understandable.
This sentence is incomplete.