Ocon is however a prime candidate to take up a seat at Renault next year, with Palmer on a one-year deal.
The British racer isn't concerned however and says he is focusing his efforts on making the car better to prove he should stay on, rather than worrying about who might replace him.
"I'm not worried by Esteban," Palmer told Sky Sports. "I know him well, he's a member of the team so I'm not worried about my seat with him, I'm just focused on what I'm doing.
"To be honest I'm focused on getting the car better, because I think if we can improve the car then there's a better chance to show what I can do, especially if we can be in Q2 or fighting for points.
"Then that's a real chance to show I can score and race well against the best, because at the moment it's harder than it could be. I'm not fussed about anyone else." GPTimes