The recently-opened retail unit features the German dictator's name in giant white lettering on the front of the store with an accompanying Nazi swastika logo.
Members of the Jewish community in the western Indian state have urged the shop owners to change the name of store, but their demands have so far been ignored.
Shop proprietor Rajesh Shah, who owns 50 per cent of the business, has refused to change the shop's name unless he is compensated for what he has spent on branding and the controversial sign.
'We had put up a cloth banner for over a month saying "Hitler opening shortly", no one objected to the name then,' he told the Times of India.
'Hitler was a nickname given to my business partner Manish Chandani's grandfather because of his strict nature.'
He added: 'Frankly, until the time we applied for the trademark permission, I had only heard that Hitler was a strict man. It was only recently that we read about Hitler on the internet.
'We have spent 40,000 rupees on the banner, couple of other thousand on visiting cards and branding activity.
'We have run out of money now. We are willing to change the name if we are compensated for the board.'
However the store's name has been condemned by the Friends of Israel organisation for being celebratory towards Hitler.