The defending champions are Rijeka, having won their third title the previous year by defeating Dinamo Zagreb in the final.
Quarter-final ties will be played over two legs, scheduled for 11 February and 4 March 2015.
The unseeded draw for quarter-final pairings was held on 4 November.
[1] Semi-final ties will be played over two legs and are scheduled for 8 and 22 April 2015.
The unseeded draw for semi-final pairings was held on 6 March.