Possibly nothing more than the brake pedal return spring catching on something.
That clicking noise you hear when you press and release the brake pedal is the "Shift Lock Solenoid" engaging and disengageing. The shift lock solenoid is located below the center console directly underneath the gear shift lever. That sound is normal.
YOU NEED NEW CALIPERS . THEY ARE STICKING
The clicking sound is normal when u push down the brake pedal, mine does the same thing, try checking the connections to your taillights and if that doesn't work it might very well be your bulbs. And if it's not that, i don't know what to tell you.
there is an ABS siloniod located to the upper left of the brake pedal, under the dash you can check. Is the ainti-lock brake warning light illuminated on the instrument panel?
Most likely, this sound is coming from a vacuum leak in your brake servo, or brake booster. Which are usually located on the firewall, the wall that divides your engine compartment and cab.
The emergency brake is partially depressed, even though the brake light is not on. release with handle and pull up on the brake pedal.
Press brake pedal down to the fully applied position. Rotate switch about 30 degrees in a counterclockwise rotation then pull rearward and out of bracket. To install pull plunger out fully. Press brake pedal down fully. Insert switch into mounting bracket and align the locator tab on switch with the notch on the bracket. Rotate the switch clockwise about 30 degrees. Release the break pedal then pull forward to adjust switch. You will hear a clicking sound while it is adjusted.
The 2001 Escape, with the gear shifter on the steering column, has an interlock solenoid located by the shifter assembly. The purpose is to lock the shifter in PARK until you depress the brake pedal. This is to prevent "sudden acceleration" where you engage the transmission with the brake off and the car shoots forward or backward. When you press the brake pedal a switch is closed that turns on the break lights and activates the solenoid, generating a magnetic field that withdraws the interlock pin, allowing you to move the shifter out of Park and into Drive or Reverse. The solenoid can make a clicking noise. We never noticed the clicking sound in our 2001 Escape until this mechanism had begun to fail, locking the shifter in Park regardless of the position of the brake pedal.
Replace your brake booster.As it sounds like it is leaking. Costs about 150.00 and relativly easy to install.
brake booster could be bad the seal around the rod that hooks to the brake pedal is leaking
bad master cylinder
Check to see if the stop lights are working. Shift interlock and brake lights are the same circuit. If they do not work: Check the fuse and the stop light switch - usually located at the upper end of the brake pedal. Try turning the key to 1st (unlock) position Shift to neutral to start and then shift to "Drive"