Looks as if the limb that fell off has a tree cancer which caused it to fall off. I just had a tree trimmer at my daughters house and she has an older tree that has it and he is going to trim and cut the limbs with the cancers off. Don't think this is a limb to transplant but to destroy.
BUT you could dig a hole and stick it in the ground and plant morning glory vines around it..By summer you would have a huge vine covered branch. Just a thought. GG Vi
You can take cuttings from the new green growth of some trees and establish new rooted plants. However, it is impossible to root a mature, woody branch of this size.
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