Chelsea booked their place in the next round of the Capital One Cup as goals from Cesar Azpilicueta and Juan Mata wrapped up the win at the Emirates Stadium.
The victory came hot on the heals of Sunday's 2-1 win over Manchester City in the Premier League and Holland, who was sent to address the media after the game, hailed the strength within the Chelsea squad.
"I think it's been a satisfying three days," he said. "You're not just talking about a team. The objective at Chelsea is always to compete in all four competitions.
"Given we had to play the game tonight, which I know Jose has documented was far from ideal with one day between the matches, it gave us no choice really but to use the full squad.
"Every player in the squad deserves great credit for their performances in the three days."