Intermittent turn signal problem 2005 malibu - 2005 Chevrolet Malibu

SOURCE: steps to replacing right front signal light bulb in 2005 Malibu

Raise hood and remove two hex bolts holding light assembly. You will see three round rubber covers, approximately 4" in diameter. Unscrew the one to the far left, giving access to the signal light bulb. The bulb pulls straight out. Insert new bulb, replace rubber cover, attacht light assembly back to vehicle with hex bolts, close hood, and pat yourself on the back for job well done.

SOURCE: 2002 Chevy Malibu

I have clicking noises too...I was told depending on what side you hear the clicking on is the side a light is ready to go out. Mine was on the right and sure enough a bulb went out in the passenger tail brake light. I fixed and replaced the bulb and the clicking went away. Later I noticed some corrosion on the wire connecting to the same area the bulb was replaced and shortly after, the bulb went out again and the clicking returned.....
Googling that "symptom" for the 2002 Malibu DOES point towards the hazard swith but it has been told to me and proven in my situation that it can also be a warning that something in the network of the lights and switches has an issue.

SOURCE: intermittent turn signal problem.

hazard switch is the problem

Testimonial: "I asked, you answered. Right on the money. Getting the switch out of the dash was a real hoot!"

SOURCE: 2002 Malibu. The turn signals work

Sounds like you may have a loose wire in the harness. It may be a loose wire in the turn switch. The only way to check is by getting to the wiring harness. There is a chance they will eventually quit working though Lyn.