You can take it to the move relearner with some Heart Scales and reteach the Egg Moves. Anything the Pokémon has ever known can be retaught in XY.Just not long ago I just got a HA pokemon with egg moves (level 1) and started to breed it with a ditto to hopefully get some more and I had a trade were i needed to breed something so i took it out and once i put it back in the daycare i stored like 10 eggs of it and when they hatched none of them had egg moves so i checked my pokemon to see that the daycare had removed its egg moves with other level up moves >.<
You can take it to the move relearner with some Heart Scales and reteach the Egg Moves. Anything the Pokémon has ever known can be retaught in XY.
1. Cycled up and down that road outside daycare center... just to realize that all eggs were hatched a good 10 minutes ago
2. Cycled up and down that road outside daycare center... just to realize that the parent didn't get along with my HM slave Talonflame
3. Cycled up and down that road outside daycare center... just to realize that both parents were the same gender
4. Cycled up and down that road outside daycare center... just to realize that only half of the pair is in the daycare
5. Reversed Destiny Knot and Everstone by accident and hatched crappy babies
6. Double Everstone hold
Ahhhh, the curse of the breeder.
Cycled up and down that road outside daycare center... just to realize that the man was just too lazy to turn around to let me know that an Egg was already ready for pickup