The Swans produced a late leveller through Danny Graham to force a 2-2 draw in the third round at the Liberty Stadium on Sunday but return bout at the Emirates Stadium is something Laudrup wanted to avoid, especially with the Capital One Cup semi-final with Chelsea coming up.
"A replay wasn't exactly what I was hoping for, especially with the two League Cup games against Chelsea in mind and the league games coming up. It's a very tight schedule," he told reporters.
"But a replay is better than a defeat. It always matters if you lose a game so a replay is another big games to look forward to.
"The main feeling is that it was a fair result. They scored two late goals but we showed great courage to come back at the end."