Last January's 3-2 win over the Gunners was arguably the highlight of Swansea's maiden Premier League campaign, and put the south Wales club firmly on the map as they outplayed the top-flight's renowned pass masters.
Since then Swansea have also gone to the Emirates Stadium and come away with victory, thanks to Michu's double in a 2-0 win in December, and Monk believes those successes mean Swansea will take a fearless approach come Sunday lunchtime.
"The win last season was amazing and was fully deserved," said Swansea captain Monk.
"It was one of the landmark games of the first season and gave us a lot of confidence that we could perform in the Premier League, although this game is in the Cup we will take that into Sunday.
"It was a fantastic win at the Emirates as well, but that was also very deserved and that's the point we are trying to make.
"We played well for 90 minutes and it was a professional performance, but we know the FA Cup is going to be something different.
"We want to get the job done in 90 minutes and I think it will be a different game from the one at the Emirates because they've been on a decent run of form since then.
"But it does make a difference when you play these sides week in, week out.
"When you are a lower league club there is a bit more of the unknown but everybody is an established Premier League player now so it is a little less daunting.
"It's one to look forward to as a player and a big plus for us is that it's at home in front of our own supporters."
While Monk is Swansea club captain and has been with them since their days in League Two, he has been linked with a move away from the Liberty Stadium in January.
Monk has had to bide his time with Ashley Williams and Chico Flores proving to be Michael Laudrup's preferred defensive pairing, although the 33-year-old has performed well in his seven appearances thus far.
Monk would prefer to stay with the Swans, but will evaluate the options available to him before a decision is made.
He said: "Swansea are my club, I've been here nine years.
"I do not want to go elsewhere so I am not really thinking about that right now.
"If there are options I will wait to see what the manager's thoughts are.
"I am in the squad and when I have played I think I have done well, but until I have spoken to the manager I can't say much.
"A lot depends on who the club bring in during the window and what the manager thinks.
"I feel fit and ready to play. Like every player on the bench you feel a bit wasted on the bench and that you could be doing a job for the team.
"I just make sure I am professional and train hard so that when I am called upon I am ready."