Despite an early fall out with Pep Guardiola, the Ivorian played well for City this season, and the club is believed to working on a new deal with the out-of-contract midfielder.
"Yaya has shown us this year, again and again, how he can contribute to this team," Al Mubarak said.
"This year has been another year in which he has shown us on the pitch the type of player and the type of personality he is and how he continues to be the type of player that can give to this team and to our organisation.
"Pep has, obviously as you have seen this year, a lot of trust and confidence in him.
"So Yaya I hope will be with us and continue this journey with us."