The 31-year-old only joined the Eagles from Marseille in the summer, making the switch to East London for an undisclosed fee, and is still under contract until 2019.
Asked if he had aspirations of joining a "bigger English club", however, Mandanda - who is currently nursing a knee injury picked up on international duty with France - simply stated that nothing can be ruled out.
"I had wanted to change and discover the Premier League," he told Telefoot. "Could I end up at a bigger English club? It will depend on my performances. In football, anything is possible."
Mandanda has made nine appearances in the Premier League for Palace since joining, failing to keep a single clean sheet and conceding nearly two goals per game on average.