Rosberg spent much of last season competing with his team mate Lewis Hamilton, who went on to win the championship.
The German feels this year will be more of the same, saying he expects it to be a two-way race for the championship between himself and Hamilton.
When asked about four times world champion Sebastian Vettel, who has recently switched to the Ferrari team from Red Bull, Rosberg laughed off any chance of a threat from that quarter.
He said: "I don't want to appear arrogant but if I go by the 2014 results I can risk it all and say no to a Ferrari challenge although one should never fully write them off.
"Sebastian will see my tail lights on many occasions."
The Ferrari team has not won a race since 2015, and with major personnel chances there during the winter break it would be surprising if they mount a challenge this season.