A 2-0 win at home in the quarter-finals of the Carling Cup in December was against a team made up of virtually all reserves.
But with the FA Cup offering the Gunners' best chance of a trophy this season, Coyle knows there will be few of Arsene Wenger's second string in the starting line-up at the weekend.
"We will face a team determined to get through in the FA Cup as they were in the Carling Cup," said the Clarets boss. "And no matter who wears the shirt I can guarantee you they will be a quality international player.
"It is a wonderful occasion. We have hosted Arsenal twice in the last year - in the FA Cup and Carling Cup - and now we get the chance to go The Emirates."
Burnley have already beaten Premier League clubs Chelsea, Fulham, West Brom and Tottenham in cup ties this season and Coyle said that added exposure had meant there would be no surprise element for Arsenal on Sunday.
But with this being the third meeting in 14 months - Arsenal having won 2-0 in the FA Cup third round in January last year - the manager said opposite number Wenger already knew plenty about his team.
"I think given the amount of televised games we have had and the prestige and the glamour of cup runs then everyone probably knows what Burnley have to offer," he added.
"But they (Arsenal) also know we do have a lot to offer and we will look to be positive in the game when we can.
"As hurtful as it would have been for him to lose in the Carling Cup Arsene Wenger was very complimentary and wished us well.
"I don't think he will be wishing us well before the game on Sunday but I hope he is wishing us well after it.
"We are well aware Arsenal will have the bulk of possession and put us under pressure but I'm confident we can stand up to that.
"It is a different game on Sunday in that we are at the Emirates and they will have 55,000 behind them and we will have 5,000 but what a marvellous occasion to go and show you can play a bit."