Late Fabregas penalty knocked the League One side out
Clark's side delivered a resilient performance against the Gunners and dominated for periods, despite being 45 places lower than Arsene Wenger's side in the league standings, and the former Newcastle man felt that his team gave a performance to be proud of.
He told reporters: "We put in an excellent performance, we passed the ball well and created chances. We limited them to few opportunites which is not easy coming here.
"The lads have worked extremely hard so if you put all that into context we are disappointed we didn't get something from the game. But we have to look to our league programme now which is really important for us.
"I'm hoping for the level of performance we showed today to come out in our league campaign. If we can play at that level, it will get us the wins we need."
A Peter Clarke own goal gave the hosts a deserved lead but Huddersfield pegged back their illustrious opponents, with Alan Lee scoring his first goal for the club on his 26th appearance and Clark was impressed with his striker's performance.
He said: "Hopefully it will give him confidence for the second half of the season to get a few more for us. I thought his general play and his hold-up play were good. I thought he was a handful. All my players can be proud of their individual performances."
Huddersfield failed to hold out for a lucrative replay as Jamie McCombe felled Nicklas Bendtner for what looked like a harsh penalty decision, but Clarke stated that he agreed with Mark Clattenburg's call.
He added: "I haven't seen it since but from where I was it looked a penalty. People have said to me it isn't but from where I am standing in the technical area it seems to be a foul.
"As soon as I saw Bendtner go down I thought it was a penalty. A couple of players said from the ref's view it looked a penalty. But the goalkeeper and one or two of the defenders say it wasn't."