Mercedes announced Rosberg had signed a new two-year contract on Friday morning, keeping the German at the team for a further two years. He and Hamilton have had a number of controversial incidents since Mercedes became the dominant force at the start of 2014, and have collided on multiple occasions this season.
Asked how he feels about Rosberg's new deal, Hamilton replied: "It’s alright.
"I don’t mind who is my team-mate. It’s good for stability in the team.
"It’s good for the team. Not really much else to say – it doesn’t change anything for me."
Having won the last two drivers' championships in battles against Rosberg, when asked if he can see himself winning the next three as team-mates, Hamilton replied: "I don’t know.
"I’m going to work as hard as I can to continue doing what I love, and doing it to the best of my ability. If for the continued years the best of my ability is better than his ability then so be it. But he’s going to continue to drive well and drive hard. He’s no slouch, he’s a great driver, so I’ve just got to make sure I’m at my best."
Hamilton is currently sitting just one point behind Rosberg in the drivers' championship, a gap which has been reduced from 43 points over the past five races.