Well technically I don't have a problem with my turn signals, but the problem I do have is that whenever I turn on my headlights the little arrows in the gauge cluster that indicate in which direction you are turning, stay on and don't turn off until I turn off the headlights. I replaced my headlight switch, but that didn't fix the problem. Anyone else have this problem?

I think you will find that one of your turn signal bulbs is probably not working. Try the side the indicator light is on. I suspect that you will not get it to flash. The first place to check is the rear bulbs they seem to go out sooner than the front ones. I have also found that the sockets tend to fail after a few years. The after market sockets are not worth the money usually don't fit well and the bulbs are too loose in the socket. I usually get a few sockets at the salvage yard when I go. If you can find original GM sockets they work well but are pricey. Good luck. Harald K

Another possible cause can be the turn signal switch. I had a problem with the left rear tailight that nearly drove me crazy, it would be out and then later back on, checked all the wiring, sockets and grounds until I realized the turn signal switch was not always going to the neutral position after signaling a left turn.

Bad bulb, socket or ground.
Need to check them ALL.
I had two (2) bulbs, one (1) front one (1) rear that were not getting proper ground.
Like to have driven me nuts.
Electrical is such a nightmare at times.

sounds like a feedback possible bulb for parking lamps frt or rear filament may be broken and touching the filament for the turn signals ck for a lamp that doesn't light up like the others also could be corrosion in the wiring connector at fuse block or firewall bulkhead connector good luck