During the game, Solly March hit the Arsenal woodwork and Brighton enjoyed a good spell in the final stages of the encounter as they sought a response against their opponents.
"When you come here you know it's going to be a difficult afternoon," Hughton told Sky Sports News after the game. "They've got such quality, you have to set your team up. It's very difficult to be very expansive here, particularly when you are a team like we are that's just been promoted.
"But I think there were certainly positives. Concentration levels have to be very much for 90 minutes with what they've got. We probably just needed to make more of some of the good areas we got in. At times, when we broke, we probably needed to capitalise on those a little bit more.
"When you have competitive players, you don't like losing. But once it settles in and we go through the game again, I think there are more positives to come from the game than negatives... we're a new team coming into this division and learning. We've played Arsenal and Man City, and in both of those games we've not been out of sight. We could have done more, but okay."
Brighton, who remain 14th in the Premier League table, host Everton in their next fixture after the international break.