Mancini says his side were patient against the Turks, who were set up to defend all game by head coach Şenol Güneş.
The Azzurri were the better side from the onset but could not break Turkey’s resilience in the first half despite mustering 12 shots on goal.
Turkey capitulated in the second half after a much-improved performance from the Italians.
Mancini’s side broke the deadlock on 53 minutes when a cross from Domenico Berardi was bundled home by Juventus defender Merih Demiral for an own goal.
Italy got their second on 66 minutes after Leonardo Spinazzola’s shot was parried away by goalkeeper Ugurcan Cakır but striker Ciro Immobile was there to convert the rebound.
Lorenzo Insigne sealed Italy’s victory in the 79th minute with a beautiful effort into the far corner.
Speaking to the media after the game, Mancini, who was satisfied with his men’s display, was quick to praise Italy.
"We have played many teams that have done what Turkey did. They put everyone (back) there, give you little space and make it hard for you to score,” the former Manchester City and Inter Milan head coach said.
"But the lads had patience. We waited, kept playing, tried to get that goal, then we got it. The lads did really well.
"The first half wasn't straightforward and in a game like that, even if they (Turkey) put everyone back, if you give one (goal) away on the break, the game changes," he added.