I need some help, my running lights go out when I have been driving for a while, I have a 2005 corvette, also if I leave the car on I’m fine if I cut the car off they do not come on nor does the icon on the dash.
It would need to be diagnosed. Have you read the information section on DRL in the owners manual? Do you have access to a wiring diagram and service manual for the car?
Find out where the lamp voltage stops when they aren't working as everything will test OK if they are working.
Possibly a bad connection or something is failing in the ignition 'run circuit to the DRL? I am not very familiar with this era of GM electrical systems. Begin with a visual inspection. 'Wiggle' tests may reveal a poor connection.