The four-time winner of African Player further pledged to introduce radical changes in Cameroon football.
Although Chelsea’s first two goals came from a set-piece and deflected long-range shot, they were not scored in a vacuum.
Conte oversaw Chelsea’s 2016-17 Premier League title win and led Inter to the Scudetto last term.
Chelsea were back in competitive action on home soil for the first time since Champions League glory in May.
Their lifeline came with 20 minutes left when Chilwell converted Pulisic’s cross at the far post, Martinez just failing to keep it out.
Kane has scored 32 goals and registered 16 assists in 48 appearances at club level this season.
City’s record goalscorer announced earlier this season that he will leave the club when his contract expires in the summer.
City’s win didn’t come with surprises after the UK giants maintained a clear distance with this season’s victory.
The tie is delicately poised following a 1-1 draw at the Estadio Alfredo Di Stefano last week.
Manchester City were the first club to formally pull out after Chelsea had signalled their intent to do so by preparing documentation to withdraw.