The 29-year-old Argentine was in a taxi on his way to the airport after watching singer Maluma perform when the accident happened.
Pep Guardiola The Manchester City manager said, he had "no problem" with Sergio Aguero being in Amsterdam as he confirmed the striker suffered a broken rib in a car accident on Thursday.
Guardiola added: "He had a day off. He's OK - the most important thing.
The Spanish manager said he did not know how long Aguero would be sidelined for, and added that he only discovered his striker was in the Netherlands early on Friday.
He said: "I think days off are to be happy. I want the players to be happy. Always I am a manager who doesn't like to train every day.
Aguero told Argentine radio stationMetro: "The taxi driver didn't see the curve, skidded, and we crashed into the post.
"I've broken a rib. Now I'm resting but it's really painful."
Aguero's former club Independiente sent the player their best wishes on Twitter, saying: "Strength and speedy recovery @aguerosergiokun! All @Independiente is with you at this difficult time."
The striker has scored seven goals in eight matches for City this season, helping Pep Guardiola's side reach the top of the Premier League and win their first two Champions League group matches.
The international break follows City's match against Chelsea. Aguero was named in Argentina's squad for their final two World Cup qualifiers against Peru (5 October) and Ecuador (10 October).
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