Why would he remove the media from his filter? I got a mature filter media and it is still in my filter right now. There is no reason to pull it out, at least not for several months.
King,
Grab the filter media and just throw it into your filter in any cycling tank. It will complete the cycle in very short order - in fact if he had let's say 20 fish in his tank, then your cycling tank would be "instantly" cycled for 20 fish (smaller ones). I wouldn't suggest adding that many at first, but you could easily go with 50% of his stocking level with no worry of even a mini-cycle. Leave that media in the filter for months, then you can start to pull it out piece by piece slowly, with no concerns. Obviously, you will still need to test, just to be sure, but there should be no issues.
What's the latest on your other tank?