It depends! Unfortunately, it is not possible to spot reduce a body part. So doing a few arm exercises will not lead to the magical disappearance of the fat from your arms.  This is because getting rid of bat wings boils down to two things; reducing overall body fat and building muscle.  So yes, arm exercises can help get rid of loose skin on your upper arms however it is through the combination of a healthy diet, arm exercises and an overall reduction in body fat.