Kean could face his parent club this weekend and has thanked Allegri for being hard on him and not allowing him to become big-headed.
“He's doing well at Verona," said the coach.
"He's a lad who was born in 2000 and has important qualities. He has to improve technically, so he needs to work but he's understood you need to make sacrifices to reach certain levels.
“That's an important thing."