do you mean the original plant or the stem that you have removed?

Hazel generally does not grow easily from cuttings, that is why it is used for plant supports.

Hazels should naturally 'sucker' anyway and if you can find shoots coming up around the plant you can carefully remove these with a bit of root and pot them on until they are established well enough to plant them on. I have made a dozen or more purple hazels this way and it's not difficult. Best to do it in the dormant period or early spring.