Reports this week suggested the Indian, who returned to F1 with the backmarker Spanish team after establishing a Nascar career in 2010, could revert to the American racing scene for 2013 and is currently seeking an Indycar test.
But Karthikeyan, 35, said on Friday he actually deserves a better F1 seat.
"I would definitely like the possibility since I have clearly proved that I have the speed to deserve a shot higher up the grid," he told the Indian Express, when asked if he would like a Force India seat.
"But having said that, I think they have their own plans as always so for now I am concentrating on finishing this season on a strong note," Karthikeyan added.
HRT has said it will retain Pedro de la Rosa next year, but the occupant of the other seat for 2013 is much less clear.
"Right now I would like to stay with HRT for 2013 as we can expect more progress with proper infrastructure which has been in place now," the Indian said.
"I think it will be decided over the winter once the season is through."