[Jongseong]

I don't know if you mean in Arctic Canada specifically, but in Greenland the Inuit certainly have orally transmitted memories of contact with the former Norse population. In 1721 the Norwegian Lutheran missionary Hans Egede went to Greenland in search of the lost Norse colonists, and instead met the Inuits who showed him the ruins of the Norse villages and told him the oral histories of alternating periods of fighting and friendly relations between their ancestors.

From the Wikipedia article on the Eastern Settlement (the largest of the Norse Greenland settlements): https://en.wikipedia.org/wiki/Eastern_Settlement

"In the Greenlandic Inuit tradition, there is a legend about Hvalsey. According to this legend, there was open war between the Norse chief Ungortoq and the Inuit leader K'aissape. The Inuit made a massive attack on Hvalsey and burned down the Norse inside their houses, but Ungortoq escaped with his family. K'aissape conquered him after a long pursuit, which ended near Kap Farvel. However, according to archaeological studies, there is no sign of a conflagration."

[Jongseong]

From the other side, Norse accounts describe often hostile encounters with natives, whom they called Skrælings. This term referred to the Greenland Inuits and the (probably Algonquian-speaking) Canadian Indians in Vinland. Intriguingly, some accounts might possibly also describe encounters with the Dorset people, who still maintained some presence in Northwestern Greenland for a few centuries after the Norse settled in Greenland. Of course, the Inuit also have oral traditions about the now-extinct Dorset people.

I don't know of any oral traditions about the Norse from Canadian Indians, though. Unlike the settlements in Greenland, L'Anse aux Meadows was just an exploration base that never developed into a permanent settlement. So unlike the prolonged periods of contact between the Norse and the Inuit, there might have been just a few isolated encounters between the Norse and the Canadian Indians that didn't leave enough of an impression to be preserved in oral tradition.