There a Difference between Chinese parsley and cilantro
It is just another name for cilantro AKA coriander, Latin name coriandrum sativum.  There is another herb also labelled "Chinese Parsley," but it does NOT resemble cilantro.  This herb is Salt Helioptrope, Latin name Heliotropium curassavicum.  

See the picture below for comparison to cilantro: