Remove the regulator handle clip using a rag as shown.

Inner handle removal/installation
Regulator handle installationMazda 6 Service Manual: Automatic Transaxle Controls
Various Lockouts:
Indicates that you must depress the brake
pedal and hold in the lock-release button to shift (The ignition must be switched
ON).
Indicates the shift lever can be shifted
freely into any position.
Indicates that you must hold in the lock-release
button to shift.
N ...
Mazda 6 Service Manual: Oil cooler
LF, L3
1. Remove the under cover.
2. Drain the engine coolant. (See ENGINE COOLANT REPLACEMENT.)
3. Remove the oil filter cover, and drain the engine oil into a container.
(See OIL FILTER REPLACEMENT.)
4. Remove in the order indicated in the table.
5. Use a clean rag to wipe off the m ...