The Azzurri were chasing a goal in Milan after their 1-0 first-leg play-off defeat in Stockholm, and Ventura asked Roma's defensive midfielder to warm up, leaving the in-form forward Lorenzo Insigne on the bench.
For the first time in 60 years, the World Cup finals will be without four-time champions Italy after they were eliminated in the playoffs by Sweden on Monday.
The game was also Italy team captain Gianluigi Buffon's last worldwide appearance.
Joachim Low believes that Italy's failure to qualify for next year's World Cup means there will be "something missing" from football's greatest tournament. Blame is shared equally between everyone.
As they celebrated their victory, the Swedish players destroyed the pitch-side desk of broadcaster Eurosport. "There can't be scapegoats", said the 39-year-old player. I'm sorry if I offended anyone. "The main regret is that it ended like this".
It was a hugely disappointing end to his worldwide career and to add insult to injury, De Rossi didn't go quietly and was left furious at the decision to leave striker Lorenzo Insigne on the bench.
"We will begin again, just as we did after other desperately disappointing moments".
Italy defender Daniele De Rossi sparked headlines for an argument with his coach Gian Piero Ventura before being substituted into the contest with Sweden, yet Low admired the fight which all of the team's veterans showed in their efforts to qualify. After the match, he said: "I have not resigned because I haven't spoken to the president yet".
"It wasn't up to me whether it was a tactical issue".