I think there are no any university which offered MBA in Anesthesiologist, but few university offered duel degree program like UC Irvine Health
Department of Anesthesiology & Perioperative Care offered Dual Degree Program MBA + anesthesiology , if you want then you can do both your training and certification in anesthesiology and a MBA degree through work during residency and the addition of a PGY-5 fellowship year.

Beside it Tulane University Department of Anesthesiology also offered duel degree program , its commitment to strengthen interdepartmental bonds and the Tulane community as a whole, has begun a joint effort with the A.B. Freeman School of Business to introduce the opportunity of acquiring a Masters in Business Administration during residency training,

Here I am providing address of both universities:

UC Irvine Health
Department of Anesthesiology & Perioperative Care
Irvine, CA 92697 • 714-456-5501
© 2005-2009 The Regents of the University of California.

Department of Anesthesiology,
1415 Tulane Avenue,
New Orleans, LA 70112-2699
504-988-5903
info@tulaneanesthesiology.com