The 41-year-old joined City last summer and oversaw a season which saw City’s EDS youngsters claim a first-ever Premier League 2 title.
During the Italian’s spell, a number of EDS players also gained vital experience both training and playing under Pep Guardiola in City’s first team squad.
Academy Director Jason Wilcox said: "Enzo has made a strong contribution in his time at the Club. Our Premier League 2 title success was a great achievement and he deserves credit for the role he played.
"I would like to take this opportunity to thank Enzo for all efforts in his time at the Club and wish him well for his future career."
Everyone at Manchester City wishes Enzo the very best in his new role at Parma.