Jesus hadn't started since suffering knee ligament damage on New Years' Eve, but had the simplest of tasks to get back among the goals when Bernardo Silva latched onto Sane's pass to produce a inch-perfect low cross for the Brazilian.
After taking an early lead through Brazil worldwide forward Gabriel Jesus, the Citizens allowed the visitors back into the game with Mohamed Elyounoussi equalising mid-way through the first half and Michael Lang netting a 71st-minute victor.
Pep Guardiola chose to dwell on the positives of Manchester City reaching the Champions League quarter-finals for only the second time in the club's history, after he was given a reminder of what it feels like to lose at the Etihad Stadium.
"Passing the ball means to pass the ball to move the opponents to attack, but to pass for the sake of passing is nothing".
Ahead of the United States tour, Barclays will run a series of Manchester City promotions and competitions, including hosting a series of football themed events for its customers in the cities that the City team will visit - the club have confirmed they will play sister team New York City FC in New York and will play in the International Champions Cup (ICC). I'm not going to say we are not going to win. The second half was really, really poor.
"What is going to happen in the quarter-finals depend on our level in the Premier League and in the Premier League it can help us in the quarter-finals".
Jesus had a flying start to life at Manchester City interrupted in February last year when he also suffered a metatarsal break and the 20-year-old striker confirmed his compatriot had been in touch. The way the two teams are playing, you wouldn't bet against us getting half of them away to Stoke on Monday! We have to be focused not to make a mistake - just be focused on what we have to do, offensively and defensively, to control the game and go through.
Guardiola said: "It was important he played 90 minutes".
"Pep Guardiola came to me after the match and said I did a good job".
"The other ones just passed the ball".
According to football data supplier Opta, City completed 978 passes - the most recorded by a side in a Champions League match since Opta began compiling stats in 2003-04. "We will try to be ready".
Ilkay Gundogan said Manchester City still have much to prove before they can be ranked alongside the best of Europe.
They had trouble with the "defend well" instruction, though, and Mohamed Elyounoussi took full advantage of this when the ball landed at his feet in a good position, firing past Claudio Bravo.