Turn right signal on and the flashers come on, sporadically

Do you know what a DVOM - digital volt ohmmeter is ? How to use wiring diagrams to test electrical circuits with DVOM? Do you know how the turn signals work ? What controls them ? More then likely it's a problem with turn/hazard flasher module.

Turn Signal/Hazard Lamps
The IGN E 10 A fuse in the underhood fuse block supplies battery positive voltage to the turn signal switch assembly. Ground for the hazard switch is from G302. The FLASHER 15 A fuse in the underhood fuse block supplies battery positive voltage to the turn/hazard flasher module. When the turn signal switch is placed in either the left or right position, a voltage signal is completed from the turn signal switch to the turn/hazard flasher module. When the hazard flasher switch is activated, a ground signal is completed from the hazard switch to the turn/hazard flasher module. The turn/hazard flasher module then sends an on-off voltage signal to the appropriate turn signal lamps, or to all turn signal lamps for hazard operation through these fuses:

You might possibly have a bad flasher module.

Technically --you don't have a flasher.....The 4 way button on the dash is a combination turn/ hazard flasher.
take a look down this page for install with pics

https://www.doityourself.com/forum/passenger-cars-mini-vans-suv-service-repairs-no-trucks/356976-2003-chevy-malibu-turn-signal-flasher.html

Sounds like a bad turn signal switch. I bet if you wiggle the turn signal lever while you have your foot on the brake pedal the left and right brake lights ill intermittently work.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

I think you might have a separate flasher for the turn signals under the dash. The turn and hazard flasher would look alike. Turn you hazards on and find the flasher for it under the dash. You will probably be able to feel it working and hear it clicking. The other flasher under the dash is for the turn signals. Try replacing that one. I think it was in later years they began to combine the two into a single composite flasher.

Try replacing the turn signal switch, it has a lot of wires going thru that circuit and could be shorted causing your lights to react that way

the hazard flasher module is very common on these. When the turn signals don't work wiggle the flasher button. If the turn signals start working again than the flasher module is bad.

They are readily available in the aftermarket, relatively inexpensive, and easy to replace.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

Hi,

Your problem is your blinker or flasher, it is located under dash, behind the instrument panel right above the steering column. Cost is no more than $10.

If helpful, click below, GOOD LUCK

THE TURN SIGNAL HAZARD FLASHER IS MOUNTED TO THE BRAKE PEDAL BRACKET ABOVE STEERING COLUMN.

Replace the hazard switch, It has the turn signal flasher built in to it.