The Welsh side saw their defence of the League Cup end in September when they went down 3-1 to the Blues at St Andrew's.
Clark believes that his side are capable of going on a run in the FA Cup should they overcome Michael Laudrup's men this weekend.
"We are excited to be playing Premier League opposition in a great competition on Saturday," he told the Birmingham Mail.
"We really enjoyed the night we beat them in the Capital One Cup and the FA Cup is even more prestigious than that. We want to be going through to the next round, without a shadow of doubt.
"I will be putting out players to win the game on Saturday because it would be a great feather in our cap if we could beat Swansea in another competition."
Birmingham currently sit 17th in the Championship.