The current holders of the trophy are putting up a valiant defence of the trophy won at Wembley in May last year and the 2-1 win over Cardiff sees the Latics progress to the last eight.
Speaking to the club's official website, Rosler said: “Our performance was fantastic, particularly after the troubles we had in getting down here for the game.
“We had to go through an unbelievable journey down after our flight was cancelled yesterday afternoon. We only arrived at the hotel at 10.00pm to 10.30pm and we had been travelling from more or less 1.00pm.
“The players were magnificent today despite all that we went through, and they have shown real pride in their performance.
“The fans came in numbers here to Cardiff and I feel that they are delighted with the professionalism and character of my players.
“They had to battle with the elements to get to the game with the way the weather has been recently, and it is clear from their attitudes during the match and at full time that they really enjoyed their day out here.”
The Latics face Barnsley at the DW Stadium on Tuesday in a Champosnip game in hand as the race for a play off place heats up.