The former Arsenal and Celta Vigo defender told BBC Radio Manchester: "It's difficult to talk about the future, but my wish is to be here.
"I'm proud to be part of this project and this moment, but our future is the next six games."
He continued: "After the Champions League final with Man United, I couldn't believe after a couple of months I'd signed a contract with Manchester City - accepting this challenge and exciting new project that they've got."
Sylvinho has had a tough time making the left-back spot his own with both Wayne Bridge and Javier Garrido also having spent time playing in the position, but the Brazilian is more concerned with the progression of the club.
"I think everyone knows one of the targets of the club is to be in the top four," he said. "But when you are talking about the top four in the Premier League you've already got Chelsea, Manchester [United], Arsenal and Liverpool.
"It's not easy at all as it one of the hardest leagues in the world. but we know that the first step to change the club is to be in the Champions League and that's the target."
Sylvinho is currently in Abu Dhabi along with City midfielder Michael Johnson helping out with training at the club's dedicated soccer schools with local children.