I just went and looked at mine. Removing the wire is very simple. Take one finger and pull the metal lever towards you. Use the other hand and push up(towards the roof of the truck) on the wire. It should pop right out.
If you can't figure out what I'm talking about, look under the dash while you pull the brake release. Se the mechanism that's moving? That's the lever you need to manually move.
2001 Blazer 4-door - ES - Bilstein Sport - Dynomax - Catless - K&N CAI - DIY OEM Keyless Entry - DIY OEM Fogs