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Yes, you could pursue BBA from France but a US college degree might give you a better kick-start to your career. Due to the pandemic, it is advisable to pursue BBA from an Indian College that offers an International degree for the BBA programme. You may study at the Indian college for this year and next year after the pandemic ends you can take a transfer to the university/ college of your choice or the partner College. For example, IILM offers BBA in association with Monroe College, New York. The students get an opportunity to realise their study abroad dreams wherein they receive an internationally accredited degree in India itself. Students will be registered at Monroe College in New York on taking admission at IILM.
Students will have access to the Learning Management System of Monroe College and to their student community.
At the end of the three-year programme they will be awarded a Monroe college degree right here at the IILM campus in India. Student may transfer to Monroe college in New York at any time and continue with the studies without any interruption. Curriculum and semester system at IILM run parallel as in Monroe College in New York.

I have been in LPU so I can vouch on their practices that they are implementing and I have witnessed their effort for students and management working hard for placement and imparting quality teaching. Here are few highlights which I would be sharing for helping you to develop your mind set.
The admissions criteria for this programme is Pass with 60% aggregate marks in 10+2 (with English) or equivalent.
NIRF ranking LPU received recently is also quite good:
Overall 99
University 78
Management 49
LPU believes in the fact that money should not be a constraint for a student to pursue his choice of studies. Scholarship can be availed in the various courses offered by LPU.
LPU offers scholarship on the various categories :-
The first and foremost category is that a student can avail the scholarship on the basis of his/her previous qualification or previous to previous qualification which should be minimum of 70 percentage. For instance if a student is applying for a Bachelors degree, LPU will be considering the 12th marks or 10th marks whichever will be higher.
LPU conducts Lovely professional university national entrance and scholarship test (LPUNEST) on the basis of which student can enhance their scholarship.
Some national level tests like JEE mains, NATA, NEET, UCEED, CAT, XAT, MAT , CMAT, NMAT, GPAT, GATE etc.
Performance on the basis of sports, cultural or co-curricular activities.
Board Toppers
For Orphan students or person with certain disabilities
Defence personnels and central armed police forces(CAPF) dependents
From all the above mentioned whichever is higher that will be applicable and the scholarship amount will be reduced from the fee of every semester.
Admissions are going on, apply soon to avail the benefits.