When we moved we transplanted our satsuma tree. Now it has no leaves but tons of huge thorns?

It probably due to shock. I had satsuma but i moved its location because it was too close to the house. I transferred it into a pot, put it under a shade and the leaves dropped leaving the thorns and the stems began to brown. For over a year, it was like that thinking the plant had died and last spring it began to grow leaves. I don't intend to do anything and left it in the pot until the tree recuperated maybe begin to flower for another year.

Citrus trees have thorns, so do not remove them. Leaf drop is probably due to the trauma of the move. Citrus trees are usually pruned after the spring flush of growth but before flowering; since yours is somewhat in shock, you can prune it back now and hope it flourishes again. Pruning will also let you see whether the limb wood is still alive or not. If the ends have died, cut it back to live green wood.