Good Afternoon, 

Thank you for contacting the U of M Extension Service. 

In addition to the link about raspberry plants that you highlighted, here is another link about growing raspberries: https://extension.umn.edu/fruit/growing-raspberries-home-garden

This information states: 

Selecting plants

• Purchase disease-free plants from a reputable nursery.
• Viruses can be readily transmitted into a planting through infected plants, and there is no way to cure the plants once they are infected. Destroy infected plants to control the spread of viruses.
• Raspberry plants can be purchased as dormant bare-root plants or as potted plants.

Many raspberry plants have viruses. It might be easier to buy bare root plants from a reputable nursery in the spring, rather than try to keep them alive all winter. 

If you are going to try to root the cuttings over the winter, they would need to have fairly moist soil and light to produce roots. The length of time this would take would depend on your environment, soil and light. If they produce roots this fall, you would probably need to keep them alive all winter in order to plant them in the spring. 

It could be an interesting experiment! Ensure that the person you are getting the cuttings from has disease free plants. 

Good Luck!