Sunderland edged past Manchester United on penalties at Old Trafford after a 3-3 draw over two legs of their Semi-Final.
And Poyet insists there’s no reason why the Black Cats can’t go to Wembley and beat cup favourites City, too.
“What a task it will be against Manchester City, we will try,” he told The Northern Echo.
“We will need to be brave, have a good day and want City not to have a magnificent day with very good players.
“It’s a game of football and we need to play well when we go there. We need to be spot on. If you want to win something you need to beat the best. We will see what happens.”
But Poyet admits he cannot explain how his side managed to win the second-leg after missing a number of penalties in the shoot-out.
“It’s very difficult to explain, I can’t remember another game like this to be involved in,” he added.
“Normally when you score in the last minute you are through. If you miss the first two penalties you don’t expect to win it.
“How we done it? I think we have to ask Vito [Mannone], he was the difference.”