The Justice Department had sought the return of classified documents it believed might still be at Mar-a-Lago before it sent F.B.I. agents this week to look for them.
Mr. Cipollone is the highest-ranking White House official in the lead-up to Jan. 6 who is known to have been called to testify by federal investigators.
Financial companies collect a lot of payment data from customers. Prosecutors could subpoena those records for evidence of abortion, legal experts say.
The subpoena, the latest indication of an expanding inquiry by federal prosecutors, seeks Mr. Navarro’s testimony and any records he has related to the attack on the Capitol last year.