I looked into this recently while helping a family member plan a trip, and at the moment, Qatar Airways doesn’t fly directly to Amritsar. When I faced this myself, the easiest option was booking a Qatar Airways flight to a major Indian hub like Delhi and then connecting onward to Amritsar with a domestic airline. I found this to be the best way to instantly plan and modify flights if plans changed, because Qatar’s schedules are flexible and connections are frequent. It took a bit of coordination, but overall the journey was smooth and reliable.
