Both sides failed to take their chances at Hampden Park in Glasgow, and eventually had to settle for a point apiece in the Group A fixture.
"It was a difficult game for us," Ivanovic told Sky Sports News. "Both teams had a good chance to win the game.
"Both teams wished and tried to win the game, that is why we saw an interesting game and a very difficult game with a lot of movement and a lot of runs.
"At the end of the day, we can be happy with a draw, because it is a hard away game."
Serbia will host Wales at Novi Sad in their second Group A match on Tuesday.