"Tough night for the loss. We tried to stay in the game and tried our best,” the Inter boss told Amazon Prime. “We had our chances at 1-1. We tried our best in the second half but the changes and quality they had put us under pressure.
"We knew this was one of the best teams in Europe. They're first without losing. The depth is important. We tried to play our game, tried to get something out of it but it didn't happen.
“We knew Arsenal were good. They have quality, pace, intensity, individual players. When we managed to win duels we then created chances, but we didn't take them.
“Arsenal deserved to win because they were more clinical. We need to keep the right mentality and be ready to face every game and every challenge."
Arsenal players celebrate Viktor Gyokeres’ goal against Inter Milan
The Gunners are regarded by many as one of the favourites to lift European football’s biggest prize, though Chivu - a winner of the competition with Inter in 2010 - has warned “anything can happen” in the latter stages.
He added: "In my opinion, Arsenal with Bayern Munich are the two best teams for the moment but anything can happen when the latter stages come in.”