De Zerbi views the former Manchester United forward with the potential of being among the best players in the world.
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This season he has already scored two goals and assisted four times in all competitions, including a crucial contribution against Real Madrid in the Champions League.
De Zerbi enthused, "I expect him to become a complete player, like the biggest players in Europe."
The coach explains that the goal is to make Greenwood a team player at the highest level.
"I want to help him and I want him to become a complete player, as well as a team player. That's my job and not just an individual job," he added.