If the rot isn't all that bad, then sure. You can trim up the roots a little bit too, cutting away some brown parts if necessary. Your focus should be on getting any wet soil out from the core of the root ball. I would gently wash the root mass in lukewarm tap water out of the faucet, to rinse the soil away, before transplanting.
Then, I would lightly water with superthrive or hormex after transplanting, and they should bounce back fine.
Then, I would lightly water with superthrive or hormex after transplanting, and they should bounce back fine.