Machine for extracting a cord made of metal material from a sidewall of a tire, being part of the sidewall and defining a support structure of said tire, including: a frame; support means for the tire configured to support said tire resting on one sidewall in a loading zone; a hook for extracting said cord from the sidewall of the tire; means for manipulating said hook, configured to manipulate the hook with respect to the frame in an extraction direction between a position for engagement with said tire in the loading zone and a position for disengagement from said tire and extraction of said cord; a command and control unit to command said means for manipulating the hook,:
an element able to move with respect to the frame to detach the cord from the hook when the hook is in position for disengagement;
and means for manipulating the movable element, to manipulate the movable element from a first position to a second position to carry out releasing of the cord from the hook.