Clashes flared up after Connor Wickham's late strike sent England through to Euro 2013 finals, while Danny Rose was dismissed for his furious reaction to racist abuse from the crowd in Krusevac.
But Jankovic believes his side have "nothing to be ashamed of" following the controversial end to the game, insisting the English players should simply be happy they have qualified.
"Apologise for what?", he asked reporters. "It takes two to have a fight. You should be happy that England qualified. We can discuss that and analyse what happened. Let's talk about football."
Rose, currently on loan at Sunderland from Tottenham, accused fans of throwing stones at him during the game, and monkey chants could clearly be heard as the youngster left the pitch, yet Jankovic preferred to focus on the match itself.
He added: "We expected a great fight and so it was. We can be disappointed but we have nothing to be ashamed of."The Football Association confirmed after the match they had filed an official complaint to Uefa over the incident, whilst Rose himself has called for Serbia to be thrown out of international competition.