I am looking for a MBA lasting 6 months in Europe which is either with or without GMAT
Does anybody know the existence of it?
I will be travellig to Oradea and staying for six months and would like to take something as part time.

No, an MBA is typically four semesters part-time, not one.

Are you based in India? SP Jain Institute of Management and Research has a one-year Post-Graduate Certificate in International Management program with IESEG, which is divided into two: 6 months at SP Jain and 6 months at IESEG. Could work for you depending on timing.

If this person will be in Oradea (In Romania) for half a year then I guess they cannot take a full-time programme.