We would be delighted to see Pizza end up at Yorkshire Wildlife Park," said Animals Asia's Welfare Director Dave Neale.
"There can be a happy ending - Pizza would not only enjoy incredible facilities, he would also be part of a community of bears."
The charity also said that no financial payment had been offered for the bear, "with the fear that any funds could be used to buy more animals".
The Yorkshire Wildlife Park houses a specially-created habitat for polar bears, which is currently home to four animals.
Described as an "innovative habitat for polar bears", Project Polar is also a research centre designed to help wild bears and those from other zoos around the world - including lions from Afghanistan as well as a young giraffe from Copenhagen zoo which was ultimately destroyed.