The 34-year-old has been linked with several clubs and was believed to be heading out of Stamford Bridge this summer.
Makelele said: “I have one year to run on my contract with Chelsea FC and I am not looking to leave. The comments that have been made on my behalf have not been authorised by me and the individual making them is not my agent.
The club added in a statement: “We have not had any offers for Claude and we are not looking for any offers.”