The Team GB duo scored a total of 44.70, meaning that they rank 10th in the team competition.
Despite this, King insists that it is a case of moving on and looking ahead to future performances.
"One or two things didn't go our way but we have to move on from that, you can't dwell on anything in skating," the 29-year-old told reporters.
"It's nice to get out there and get some time on the rink in front of a crowd. However, we've got a lot of work to do before we compete in our main event next week. We just have to improve and find the elements the judges thought we were missing.
"It's good to get a performance in and settle the nerves but we need to focus on some things that need work. We've got a few days to get back at it."
Britain are seeded 10th of the 10 qualified nations, and only the top five after Saturday's second phase will get to perform their free skate.