Google lead me to many sites and they are almost equally divided on the subject. I live up north and pruning Apples trees is easy - no water sprouts. But my indoor Citrus trees may be in a different catagory?? I'm thinking any new leaves can only add to the overall health of the tree but they are often "ugly." What do you think?
Are they sprouts coming up from below the graft? If so then you need to prune them out. I assume you have a dwarf/patio citrus tree, they are always grafted, typically onto bitter orange rootstock (Poncirus trifoliata)