Is it normal for store staff in India to follow me around?

I'm currently in India, and every time I enter a store (especially international clothing brands), one or two salespeople follow me around, staying just a meter behind me the whole time. Even when I politely say, *"I'm just looking, I'll ask if I need help,"* they don't back off. Is this just how customer service works here? Or is it only for foreigners? It honestly feels overwhelming, and I've left stores in a hurry (even when I saw things I wanted) because I felt too uncomfortable. It was really ruining my customer experience each time. Is there a way to handle this without being rude? Or do locals also experience this?