The Italy international struggled to comprehend how the Turin giants failed to bag the full three points against the Danish champions after playing out a 1-1 draw
The Bianconeri had set their sights on the full three points against the Danish side, but had to thank Mirko Vucinic for not leaving Copenhagen empty handed as the Montenegro international levelled the scoring with only 10 minutes to spare.
"We go home scratching our heads as to how we haven’t won this match," Chiellini was quoted as saying on the official Juventus website.
"Over the course of 90 minutes we allowed them one free kick and one chance from a long ball. We had 15 shots and created 30 chances.
"In certain league games, like against Genoa or Siena, we've gone home with three points despite conceding more chances. Tonight we deserved a lot more."
Juventus sit third in their section with three points from as many games, behind Chelsea and Shakhtar Donetsk.