The forward scored against Manchester United on Wednesday evening in a rare start for the Champions League winners, but recent reports had suggested that Liverpool were preparing a bid for the 23-year-old.
However, Di Matteo has declared himself happy with Sturridge's role in his squad.
The Italian said: "I get asked about speculation but I am very happy with him. He scored a goal and had a number of good chances.
"He's our striker and as far as I'm concerned he's part of this team."
Sturridge has 18 months left on his current deal at Stamford Bridge.