The Patna police had registered a case against him for making a passport using forged documents.
In his application, Khan said that he apprehended his arrest in this case as a local court in Patna has issued a production warrant against him.
The application is likely to come for hearing during this week.
The Enforcement Directorate (ED) alleged that Khan and his 'advisor' Kolkata-based businessman and co-accused Kashinath Tapuria had laundered billions of dollars in foreign banks, of which a large chunk was obtained by Khan through the sale of weapons to international arms dealer, Adnan Khashoggi.
Allegedly, Tapuriah had also helped Khan get contracts for supplying scrap to some top steel companies.
Khan, who has been charged with stashing away billions of dollars in foreign banks with the help of his associate Tapuriah, also faces a Rs 70,000-crore tax demand notice from the Income Tax department.