You can try to salvage them! Go for it! Now... you are dealing with transplant shock. So if you do that, when you transplant for the first week you have to keep them wet in the roots almost constantly to ease them through the shock. You aren't trying to get it swampy though as that can cook in the heat too. The second week also in a transplant can also be touchy, and depends on how big the plant is.
Now another issue you can have is if the top is too big for the root base then you can also have problems. Because the top has more need than the bottom can keep up with. If this is a mature tree and you are transplanting it, ... its possible you might not get fruit this year(?) But you can work hard with watering and a higher frequency watering cycle to try to make sure it lives and give it the best chance that you can. You can also see my other post about this and transplanting on your other plant post today; which applies to this one as well.
Just do your best.
But many trees, trees especially if you cut off a lot many of them do survive and grow back. So there's a very good chance they could survive. Its just... how long will the recovery take.