1. Safety First! Disconnect the negative battery cable before beginning any work on the fuel system. This will help prevent sparks that could ignite fuel vapors. Work in a well-ventilated area away from open flames or sparks. Have a fire extinguisher nearby. Safety glasses are also recommended.
2. Locate the Release Mechanism: The quick-connect fitting likely has a small tab, clip, or ring that needs to be depressed or pushed to release the connection. Carefully inspect the fitting. You might need a small flathead screwdriver or a special fuel line disconnect tool (available at auto parts stores) to access and depress this mechanism.
3. Apply Pressure: Some quick-connects require you to apply a little pressure to the fitting itself while simultaneously depressing the release mechanism. This helps to overcome the compression holding the line in place. Gently rock the fuel line back and forth as you work the release.
4. Disconnect the Line: Once the release mechanism is engaged, the fuel line should pull away relatively easily. If it's stuck, don't force it. Try wiggling the line gently while applying pressure on the release. There might be corrosion or debris preventing it from separating.
5. Clean the Connectors: After disconnecting, inspect the connectors for damage. Clean any dirt or debris from the fuel line and fitting using a clean rag.
If you're unsure about any of these steps, it's best to consult a repair manual specific to your 1997 S10 or take it to a qualified mechanic. Incorrectly disconnecting a fuel line could lead to fuel leaks, which are extremely hazardous. Pictures of your specific fitting would help immensely in providing more precise instructions.