The two teams played out a thrilling 2-2 draw at the Liberty Stadium as the Gunners looked to have sealed a come from behind win before Swans striker Danny Graham grabbed an equaliser in the dying minutes.
"After the Manchester City result it's important to get our mood back up again and win a game," Coquelin told the club's official website.
"We showed great character to come back in the game at Swansea 10 days ago, and now we have to show the same qualities.
"We need to win this one, and with the tough of run fixtures coming up over the next few weeks it could be really good for our confidence."
The 21-year-old has featured 18 times in all competitions for Arsene Wenger's side this season.