If it is cable, it could have snapped. If it is rods, it could have fallen out of its socket. Look from the engine compartment, as someone pushes the pedal down and up, so see what moves and what no longer does.
i know absolutely nothing about your type of car, but i do know about manual transmissions.
from your pedal to the clutch and transmission, you will either have a cable system or a hydraulic system.
with a cable system, you dont have any clutch fluid to top up. possibly the cable has snapped or come off its carrier which does rarely happen. or the clutch release fork has snapped (the cable is easier and cheaper to replace)
with a hydraulic system. you have a master cylinder, slave cylinder and sometimes a servo unit, you also have your fluid line and release fork.
start with your master cylinder (at the firewall of the engine bay) check your fluid level and any leaks around the bottle.
next is the fluid line, check for leaks.
then the slave cylinder, on some transmissions this is located inside (concentric slave) and you need the transmission taken apart to replace.
the release fork is also connected inside the tranny and is a similar job to replace as the slave cylinder.
if it is the slave or fork, it makes sense to replace your clutch while its open.
it is possible to drive a manual similar to an automatic. turn the car on in 1st, then about 2500 revs (it varies from car to car) slot the gearstick into 2nd, then 3rd the same way. its not recommended but can get you out of a sticky situation
from the description youve given, it sounds like either the fork has snapped or the clutch cable (if it has one)
GM F-body use a hydraulic clutch. Check next to the brake master cylinder (on the firewall in the back of the engine bay right in front of the drivers seat). There's 2 caps, one for the brakes, and a smaller one (usually to the right as you're looking at them) for the clutch. Check the fluid, it's likely low, which means there's a leak somewhere. There's really only 3 places for it to leak: the master cylinder (where you add the fluid), the clutch line, and the slave cylinder (which is on the transmission to operate the clutch).
I'm not really familiar with that vehicle but I can make a guess but u won't say for sure. You could need to refill the fluid and I'm bot sure if its the same but behind your engine there might be a line that popped off with a male and female end that screws together. Maybe you can Google where your clutch fluid line runs to, and if it is detatched be sure to bleed it before you replace the fluid. You'll need to pump the clutch there times and hold it on the third time.
Bare in mind I'm not a professional I just replaced my engine a couple days ago (which is why I'm here) and had a similar problem
More than likely your clutch slave cylinder has sprung a leak.
Slave and / or reservoir seals are n.g. replace defective component.
I drive an 01 V6 Firebird. I was in 3rd approaching a stop sign and i tried rolling into 1st but when i tried putting it into gear the clutch pedal kind of popped and hit the floor. it remained in neutral. i can put it into gear and start the car in that gear now, but the clutch pedal has no pressure and i can not work the clutch while the car is on. Im new to manual transmissions so i really appreciate the help! Thanks! :)