The 8,126-meter (26,660-foot) Nanga Parbat is the ninth-highest in the world.
The climbers, Elisabeth Revol and Tomasz "Tomek" Mackiewicz, began their ascent of Nanga Parbat, the ninth-highest mountain in the world, on January 20.
"(Revol) has frostbite and some (snow) blindness", said Asghar Ali Porik from Jasmine Tours, who helped organise the K2 expedition.
The extreme weather conditions - winds of more than 50 miles per hour and a wind chill nearing minus 80 degrees - forced the rescue team to postpone any plans to ascend further to search for Mackiewicz.
Elisabeth Revol, 37, and Tomek Mackiewicz, 42, were attempting to climb the mountain, nicknamed "killer mountain", without oxygen when they got into difficulty.
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According to Pakistani authorities, a four-member team of Polish climbers and skilled pilots of the army will take part in the rescue operation and the rescue is being coordinated with the embassies of France and Poland in Pakistan. She was later shifted to Islamabad. "It's a awful and painful decision", wrote Mr Ludovic Giambiasi, a friend of Ms Revol, in a series of updates on Facebook. Any extra money raised will now go to Mackiewicz's family.
Brigadier Shahid Sardar, a representative of military-owned Askari Aviation, told Reuters that Revol was spotted near Nanga Parbat's Base Camp 2, while the Polish rescue team had been dropped off at Base Camp 1.
The elite mountaineers Adam Bielicki and Denis Urubko began their ascent on Saturday evening, trying to reach Revol while the winter weather remained clear enough to allow them to climb.
"The rule for funding is that whoever wants a recovery mission, before we can even leave, must deposit a certain amount of funding", said Muhammad Ehtasham Amir, the general manager of charter services at Askari Aviation, a wing of the Pakistani military.
Mackiewicz has made six previous attempts to scale Nanga Parbat in winter.
Later Saturday, Polish media, which have followed the developments closely, reported that Revol had been found alive, citing tweets by a friend and other sources.