The Blues will play Everton in the quarter-finals, in an exciting looking tie at Goodison Park.
Guus Hiddink, who has two losses total as manager of the Blues, sent Manuel Pellegrini into his first run of three consecutive losses since arriving at the club in 2013.
Although the match could have been more appetizing if Manchester City did not have to rest most of their starting squad, it proved to be a memorable one for Belgian international Eden Hazard, who found the scoresheet for the second straight FA Cup appearance.
Many chances, little results
Straight from kick-off, the Blues were predicted to dominate the match going against a whopping five first team debutants for Manchester City, including Bersant Celina, David Faupala, Aleix Garcia, Tosin Adarabioyo and Manu García.
Hiddink sent out the same squad that played well but lost against PSG during the Round of 16 Champions League match at Parc des Princes in Paris. However, the potential of players such as Faupala was shown early to the defending Premier League champions after he delivered a shot on target after a bit of skill past the defensive line.
After roughly 10 minutes of play, Pedro began his onslaught on Willy Caballero with an unlucky effort off the post. Eden Hazard, who still appears to have trouble dribbling past the opposition this season, took advantage of Caballero's subpar performance with a short cross and assist for Diego Costa to head in with his 'Zorro' mask.
Nonetheless, a terrible defensive effort by the Chelsea backline allowed Faupala to score the equaliser immediately after and secured parity heading into the break. Additionally, Gary Cahill suffered a bloody nose during the first-half, adding on to his list of nose problems this season.
During the half coins were thrown at City players when celebrating their equaliser. Chelsea have confirmed that the home fans found to be guilty would be banned for life.
The second-half proved to be all in favour of the home side, with a brilliant counter attack led by a second Hazard assist being finished into the bottom left corner by Willian. Chelsea would control possession for most of the match at the end of the opposing penalty box, which would prove to certainly deliver the three points to the Blues after England international Gary Cahill drove a volley straight through Caballero.
Chelsea would begin to bring in substitutes including Nemanja Matic and Oscar for the hard-working Diego Costa and Pedro, along with Manchester City replacing players for more youth including Brandon Barker and Cameron Humphreys. A foul on Hazard would eventually lead to a beautiful free kick goal for the Belgian.
Oscar would see his stutter-step penalty saved by Caballero despite Bertrand Traore wanting to take the spot kick. However, Traore would be fortunate to find the net later in the game with a backwards header off a cross somehow falling into the right corner of the goal with a minute before injury-time left.
A final score of 5-1 continues a strong campaign from Chelsea during 2016 in all competitions and a colossal confidence builder for Eden Hazard to return to form.