Pyrgian rug. Like Persian but different. A genie could add that to his offer of wish or slavery. Or hostile genies could drop one. I feel like it should be directly tied into genies and lamps.
Edit: Or! From https://en.wikipedia.org/wiki/Magic_carpet
In Russian folk tales, Baba Yaga can supply Ivan the Fool with a flying carpet or some other magical gifts (e.g. a ball that rolls in front of the hero showing him the way, or a towel that can turn into a bridge). Such gifts help the hero to find his way "beyond thrice-nine lands, in the thrice-ten kingdom". Russian painter Viktor Vasnetsov illustrated the tales featuring a flying carpet on two occasions.