A number of City's stars are absent for the pre-season fixture following the World Cup in Russian Federation.
The England worldwide still has 12 months left on his City contract, although he is not part of Pep Guardiola's plans at the Etihad.
"Joe is our player".
"We spoke while we worked in this one week and the courage, intensity and desire to play was very good".
Claudio Bravo and Riyad Mahrez were the only recognisable senior players in the the Citizens line-up, with most of City's first team player still on holiday.
Jorginho played under Maurizio Sarri at Napoli and Chelsea's new head coach was keen to be reunited with him at Stamford Bridge.
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Guardiola may have to use some of his fringe players for the Community Shield game against Chelsea on August 5 and Premier League opener against Arsenal eight days later.
Guardiola was quoted as saying by the BBC: "Joe is our player".
He said: "We will decide on them at the end of pre-season".
"The players come back, try to do the basics and with the intention to make a good season". It was a pleasure to work with them, to do what we've done in the last two seasons, it was like the first day we came.
"What happened last season was a effect of the previous season and we will try to come back to the basics and make a good season".
Defender Mendy, who made just one substitute appearance for France during their triumph at Russian Federation 2018, and Portugal midfielder Bernardo Silva are the only members of Guardiola's squad who featured in the World Cup to be included on the trip. All the best for him'.