I play an American Fender stratocaster. Whenever I play a note on the g string and take my fingers off of it, the open g rings out very loud (when playing through my amp at a loud volume). I can palm mute the string or mute it with my right hand, but this is somewhat tedious. Is this a setup problem with my guitar, or is this just a normal aspect of playing electric guitar that I have to come to terms with? When I say ring, it just sounds like I picked an open g.
I suspect that you are unintentionally "pulling off" when removing your fingers. To address this I would look at (a) playing the piece very slowly and making sure that you smoothly remove your finger from the string and (b) trying to find comfortable an smooth ways to use your fret hand fingers to dampen the string. If other surrounding notes allow this, it could even be the finger that had been fretting the g-string.