1997 Dodge Ram 1500 is losing oil pressure, stalling at idle, and sudden stops. Have replaced oil, plugs, and recently had a new muffler from the manafold back installed. Truck will be running fine at some points and then engine seems to shake which then disappears when I step on the gas. Also stalls turning into parking spots.

Change the sensor. it appears to be a known issue.

https://www.autopartsrepairs.com/causes-low-drop-oil-pressure-dodge-ram-trucks/

Durango

https://dodgeforum.com/forum/1st-gen-durango/276936-oil-pressure-gauge-drops-and-rises.html

https://www.google.com/search?q=%2799+Dodge+Ram+1500+5.2L+Intermittent+sudden+drop+of+oil+pressure

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Kind of sounds to me like you have an o2 sensor problem.

Usually on idle (warm engine) this is OK.

check your distributor pick up wires, make sure they are not crossing.

likely your throttle position sensor or idle air control valve. Try disconnecting each one when the problem starts if it corrects you have found the culprit.

A few things actually lol. How long since its last tune up? A dirty air filter, worn spark plugs and wires and cap and rotor can cause a poor idle and stalling. Not to mention a dirty fuel filter. The fuel filter is in the gas tank unfortunatlly :(
Try giving it a basic tune up " about 45 dollars" and see if that helps. Good luck.

I would take a look at the plugs and see if they are fouled. You might have a bad fuel pressure regulator. Also, the control module or pick up coil could be bad.

check the iac (idle/air valve) it controls the idle speed during the time the engine is started or coming to a stop. iac valve is located behind the throttle body . hope this will help you with your problem!!!!

it normally is located near the oil filter it looks like a little plug with a wire on it

it could be crank bearn or cam bearm they are noted for it