2003 cts,have to bypass override to shift,we replaced override solenoid and brake swith, also codep1629 theft fuel enable/no signal comes on.

If your 2007 Impala is stuck in park and the gear override silver button doesn't work, there may be a few potential problems that are causing the problem. Here are some common causes and troubleshooting solutions you can try: Brake light switch: The most common cause of this problem is a faulty brake light switch. The brake light switch is responsible for sending a signal to the shift interlock solenoid to release the shifter when the brake pedal is depressed and can prevent the shifter from releasing if the switch does not operate properly. Make sure your brake lights work by pressing on the brake pedal. If they don't work, it's probably a brake light switch issue that needs to be replaced. Shift Interlock Solenoid: The shift interlock solenoid is a mechanism that prevents the shifter from moving without pressing the brake pedal If the solenoid is faulty or a blown fuse can cause the shifter to go into park. Check the fuse connected to the shift interlock system and replace if necessary. If the fuse is good, the solenoid may need to be replaced. Shift Cable: The shift cable connects the shifter to the transmission and allows you to change gears. Damaged, loose, or misaligned cables can prevent the shifter from leaving the parking space. Inspect the shift cable for any obvious issues and make sure it is securely attached to the shifter and transmission. Shift lock control module: Some vehicles have a shift lock control module that ensures proper operation of the shift interlock system. Malfunction of this module can cause the problem. It may be necessary to use a diagnostic scan tool to check for any error codes associated with the module. Ignition switch: Faulty ignition under certain conditions

Question edited for clarity.
Question moved to model category.

By disconnecting the battery, you also disconnected all the set up of the security and engine immobilizer coding.

https://www.google.com/search?q=2003+cadillac+cts+security+system+reset

How do i perform the 2003 Cadillac CTS anti theft reset?

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How do I get my Cadillac out of anti-theft mode?"

Look for a button that allows you to slide the physical key out of the fob. Step 2: Turn the vehicle key to unlock the car door without releasing it. Hold the key for 30 seconds in this position. This will signal to your car's system that you have the right key, and will enable you to bypass your car's alarm system.

shift solenoid not enabling due to power from brake switch or solenoid itself behind brake pedal you will see switch for brake an another for solenoid.this solenoid should have an override.

lol its telling you what the problem is, anti theft is having problems

You may want to do some research on the code. The basic problem is the anti-theft system is not seeing a crank signal and shutting down the fuel pump. It could be the security system, or the crank sensor, or other issues.
If you have auto start or a remote starting system it can cause these problems too.

most modern cars (and trucks, too!) have a safety system that prevents someone from shifting out of park if the brakes are not pressed (it helps keep small children from moving the car out of park), check the switch(es) on the brake pedal to see if A) it (they) are getting power, and B) that the power is going thru to the brake lights/ brake interrupt solenoid.

Shift solenoids are in fact located inside transmissions. SHIFTER solenoids are located under the dash and are connected to the brake switch to enable you to change gearshift positions when the brake pedal is depressed.

the solenoid for the shift release is at fault. you will need to replace it or bypass it to shift again. by passing it is not suggested by the district of transportation

does your brake lights work? it's sounds like the shift lock solenoid isn't working it could be not getting a signal from the brake light switch or if it is getting signal then the shiftlock solenoid is bad but make sure the solenoid is getting a signal from the brakelight switch first