You more then likely are dealing with swing plane issues that are causing the wrists to roll. The lead arm for example might be completely out of the plane of the shoulders, the lead arm could be finishing down. Lead arm work might help therefor, but it might take more work then just a simple correction.
https://www.youtube.com/watch?v=57TYka7BijA
Friend of mine DD who was taking lessons (from a former athlete) and she could only hit ground balls. She was being taught "keep that lead elbow close to your body and never allow the bat to finish above your head." I think this a real old school,flat swing, softball is different than baseball teach. I didn't hear anything about wrist flick but would not be surprised if I had. I sent him a couple videos including this one (because it is polar opposite to what she was being taught) . She is not taking lesson from her anymore. And within two weeks, she is has improved her swing quite notably. She unleashed the lead arm and is hitting lasers now. The transformation is stunning.
Lesson learned...... former athlete does not (necessarily) equal good hitting instructor.