The team, which presented its 2017 contender last Tuesday in London, had initially scheduled its running for Friday but rain washed out those plans.
No issues were reported following Palmer's outing but the Brit was all smiles at the end of his run.
"That was really fun," said Palmer.
"Loads of downforce, loads of grip, a few laps, no hiccups and a big smile on my face! I'm looking forward to getting back in on Tuesday."
— Jolyon Palmer (@JolyonPalmer) February 25, 2017