Rossoneri were dealt a huge blow to their Europa league dreams, when two first half goals from Mkhitaryan and Ramsey ended their 13-match unbeaten run in all competitions.
Gattuso hailed Arsenal as worthy winners, but hopes to correct their mistakes in London.
“Arsenal have deserved to win the game. I expected that they would play this way,” he told Sky Sport Italia.
“I hope this experience can be useful for our path, taking these [losses] can also be good for growing.
“We were too poor in the first half, suffering [from] their quality and failing to be united between the lines and making too many mistakes from a technical point of view.
“We could definitely have scored some goals, but we could also have [conceded] more.”
“Playing in Italy and in Europe are two different things,” he said.
“In Europe, you can see very well-equipped teams from a technical and physical point of view and then an English team takes about three or four times the TV rights of an Italian [club].
“This doesn’t mean we lack the qualities, but there are players structured in a very different way from ours.”