Anderlecht striker Mbark Boussoufa is also left, he is currently injured and only due to resume playing for his club after the Belgian league's winter break on 19 January.
Nemec had three years left to run of a four-year contract with Racing Genk, so Hearts would have had to pay the Belgian Jupiler League club a transfer fee.
Arsenal came into the match needing just a draw to qualify and on the back of a surprise 1-0 Premier League defeat at Sunderland -- and they were always in control against their Belgian opponents.
The attack coincided with an Arab League meeting that was under way inside the Green Zone, in the presence of Belgian, German and Swiss experts, to discuss the formation of an Arab parliament, as stipulated by a summit of Arab leaders held in Baghdad last year.