Background: New technologies have gained popularity, especially the use of mobile phone applications, in neurorehabilitation. The aim of this paper was (1) to develop a free mobile application (NeurorehAPP) that provides information about and helps to select the appropriate mobile application related to a list of neurological disorders (cognitive impairment, Alzheimer’s disease, Parkinson‘s disease, multiple sclerosis, traumatic brain injury, stroke, cerebral palsy, muscular dystrophy, spina bifida, and facial paralysis), based on different objectives such as healthy habits, information, assessment, and treatment; and (2) to assess the feasibility, acceptability, and degree of satisfaction by physiotherapists after using NeurorehAPP for a minimum of three months. Methods: A free application was created to work with the Android® operating system. The degree of satisfaction and acceptance with the application was assessed with an adaptation of the Customer Satisfaction Questionnaire through a survey via email applied to physiotherapists from hospitals and neurological rehabilitation centers in Spain after using the application. Results: NeurorehAPP includes a total of 131 apps. A total of 121 physiotherapists completed a satisfaction survey. The total sample showed 85.41% satisfaction with the service provided by the app and 86.41% overall satisfaction with NeurorehAPP. Conclusions: NeurorehAPP is a free, intuitive, and friendly app used with the Android® operating system that allows the selection of the most appropriate app according to the type of user, neurological disorder, objective, and FDA criteria. Physiotherapists showed a high degree of satisfaction and acceptance with NeurorehAPP.