Aguero, City's all-time leading scorer with 204 goals in 299 appearances, moved from Atletico Madrid in 2011, and the new deal means he will be at the Etihad Stadium for 10 years.
The Belgium worldwide, who scored eight goals and provided 16 assists in City's record-breaking league title triumph last season, picked up the injury in training last month.
"I am happy for this additional year", Aguero told CityTV.
'I don't know [how long], he has a little bit of a problem in his bone.
"So I say smile when we win, cry when we lose, but I need to convince them to be on top and that's so demanding".
"I don't know", said Guardiola at his press conference on the eve of their away trip to Premier League strugglers Cardiff.
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Wiggins, meanwhile, has been said to be bothered by being relegated to the team's third offensive option behind Butler and Towns. Jimmy Butler was a hot topic during Thursday's Knicks preseason news conference, even though his name never actually came up.
"Hopefully, that's going to happen".
Brazil were below-par in the group stage before losing to Belgium in the knock-out stages with Jesus failing to score despite starting all five of his country's games in the tournament.
"Of course", said the 47-year-old Spaniard.
"I am very happy that he has extended his contract. If you are not able to do it, then learn and improve". That sounds like a worse tackle than Bennett's, but we didn't make a song and dance about that. Here every game is like a final - one or two mistakes and you are out.
"The most nice thing and the reason I like to be here again and again is now it's a new challenge".
"Well we are going to try to respond, that was so important for us last season".