Which water route represents the rumored shortcut the French hoped would take them to Asia?

The rumored shortcut the French hoped would take them to Asia was the Northwest Passage. This water route, sought after by explorers, was believed to connect the Atlantic and Pacific Oceans through the Arctic archipelago of Canada. The quest for the Northwest Passage was driven by the desire for a faster trade route to Asia, particularly for spices and other valuable goods. Despite many attempts, the passage proved to be elusive and fraught with challenges.