Mariusz Stepinski saw red in the first-half, but Milan only edged the game thanks to a Krzysztof Piatek penalty.
“The team is working well, is finding its balance and I know there are some strengths and weaknesses, but I work to improve the individuals and the teams," Giampaolo told Sky Sport Italia.
“Everyone has strengths and weaknesses, there is no perfect side. I like the effort and passion we put into the game, then errors can happen.
“The team played well in the second half, with the right approach and precision. A team that defends with 10 men in their final third are difficult to break down. Verona played their honest defensive game and we were constantly pushing forward. We didn't do it perfectly and of course there is plenty to work on and improve, but the victory helps us to work."