Yes, internships are considered as work experience in many recruiting companies and the candidates will have to provide the reference letter gained from the internship to justify the same.
MBA international internships during summers are a good time to apply to the international companies. The internships can be for sales, manufacturing, supply chain, human resource etc.
Your internship report should match the time of internship you are doing. The latest market survey and the strategies used can add extra weightage to your MBA internship report.