Is it permissible for my brother to pay my monthly salary to the employer, knowing that the country's law obliges the employer to pay the employee's wage, and this is for the purpose of obtaining a work visa for me to enter the country where my brother resides?

This action is not permissible because it involves lying and circumventing the law of the land. Muslims residing in the West should be good role models in fulfilling covenants and adhering to conditions, as long as these do not contradict Islamic law. Furthermore, traveling to lands of disbelief carries risks to one's faith and exposes one to doubts and temptations.