Reports had claimed that the Brazilian defender was keen on a transfer in order to find regular starting action, with Turkish club Fenerbahce said to be interested in his services.
However, despite admitting that he has heard the rumours, the 29-year-old is adamant that there is no truth in them.
"There were rumours. I had people asking me on Twitter and even players from Fenerbahce asking if it was true," he said. "But I am very happy here and hope to stay at Arsenal for a long time. London is a great city and the Arsenal fans are amazing."
Santos has made 23 appearances for the Gunners.