Identify when the noise happens
Record a slow change between two chords and listen to the moment your fingers leave the strings. A squeak during a position shift has a different cause from an open string ringing after you release a shape. Decide which sound is distracting in the actual arrangement. Some finger noise is a normal part of acoustic playing and does not need to disappear completely. Work on the sounds that interrupt the pulse, obscure the harmony, or become much louder than the intended musical phrase.
Release pressure before traveling
For a shift along a string, lighten the fretting pressure before moving the hand. You may maintain gentle contact for guidance, but avoid dragging a fully pressed fingertip along a wound string unless you want a slide. For strings that should not ring, use a light touch from either hand where practical. Practice the movement silently, then add one quiet strum at the destination. Listen for whether the new chord arrives cleanly without a burst of unrelated open notes between the two shapes.
Reintroduce realistic rhythm and dynamics
Play the transition at a comfortable tempo with the strumming pattern you intend to use. A solution that works only when you stop the picking hand may not transfer to the song. Keep the movement economical and avoid rigidly lifting every finger far from the fretboard. Compare another recording at normal listening volume rather than judging only a highly amplified close sound. The aim is controlled transitions, not sterile silence. If a small squeak remains while the chord arrives clearly and the groove feels secure, direct the next practice session toward the more musically important limitation.