Use the pointed end of a spudger to lift up on the mic cable's white locking tab.

You should feel a small tactile bump once the connector unlocks.

Use a pair of tweezers to pull the mic cable up and out of its connector.

With the connector properly unlocked, the mic cable should slide out with little to no resistance.

During reassembly, ensure that the locking tab is in its unlocked, lifted position before reinserting the mic cable. Press down on the tab to lock the cable in place.