With the Maranello team openly considering replacing Kimi Raikkonen for 2018, reigning world champion Rosberg's name has been mentioned as a candidate.
However, the retired former Mercedes driver told Italian newspaper Corriere della Sera: "No, it will not happen.
"It's an honour that so much is speculated about me, but I am fully satisfied with my career. I have no regrets."
The 2017 season continues this weekend with the British Grand Prix.